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3493472342976 = 2632711227126423
BaseRepresentation
bin110010110101100011001…
…011011001001111000000
3110100222021002112122122200
4302311203023121033000
5424214112404433401
611232513512233200
7510252333651420
oct62654313311700
913328232478580
103493472342976
111127634076900
1248508499b800
131c4582495415
14c11291d6480
1560d17261686
hex32d632d93c0

3493472342976 has 504 divisors, whose sum is σ = 12625720353792. Its totient is φ = 904012876800.

The previous prime is 3493472342957. The next prime is 3493472342993. The reversal of 3493472342976 is 6792432743943.

It is a happy number.

3493472342976 is a `hidden beast` number, since 3 + 4 + 93 + 472 + 3 + 4 + 2 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×34934723429762 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 132200101 + ... + 132226523.

It is an arithmetic number, because the mean of its divisors is an integer number (25051032448).

Almost surely, 23493472342976 is an apocalyptic number.

3493472342976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3493472342976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6312860176896).

3493472342976 is an abundant number, since it is smaller than the sum of its proper divisors (9132248010816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3493472342976 is a wasteful number, since it uses less digits than its factorization.

3493472342976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26741 (or 26717 counting only the distinct ones).

The product of its digits is 164602368, while the sum is 63.

The spelling of 3493472342976 in words is "three trillion, four hundred ninety-three billion, four hundred seventy-two million, three hundred forty-two thousand, nine hundred seventy-six".