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3495796920 = 23335711127331
BaseRepresentation
bin1101000001011101…
…1010000010111000
3100000121221212212000
43100113122002320
524124411000140
61334515021000
7152425532520
oct32027320270
910017855760
103495796920
111534316a70
1281689a760
134393274b5
142523c6680
15156d7ba30
hexd05da0b8

3495796920 has 512 divisors, whose sum is σ = 14686617600. Its totient is φ = 718502400.

The previous prime is 3495796919. The next prime is 3495796937. The reversal of 3495796920 is 296975943.

3495796920 is a `hidden beast` number, since 3 + 4 + 9 + 579 + 69 + 2 + 0 = 666.

It is a super-2 number, since 2×34957969202 = 24441192211762972800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10561155 + ... + 10561485.

It is an arithmetic number, because the mean of its divisors is an integer number (28684800).

Almost surely, 23495796920 is an apocalyptic number.

3495796920 is a gapful number since it is divisible by the number (30) 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 3495796920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7343308800).

3495796920 is an abundant number, since it is smaller than the sum of its proper divisors (11190820680).

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

3495796920 is a wasteful number, since it uses less digits than its factorization.

3495796920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The square root of 3495796920 is about 59125.2646505705. The cubic root of 3495796920 is about 1517.6864793311.

The spelling of 3495796920 in words is "three billion, four hundred ninety-five million, seven hundred ninety-six thousand, nine hundred twenty".