34799846973552 has 120 divisors (see below), whose sum is σ = 97794747745968. Its totient is φ = 11551936435200.

The previous prime is 34799846973509. The next prime is 34799846973553. The reversal of 34799846973552 is 25537964899743.

34799846973552 is a `hidden beast` number, since 3 + 4 + 79 + 9 + 8 + 469 + 7 + 35 + 52 = 666.

It is a super-2 number, since 2×34799846973552² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34799846973553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69469902 + ... + 69969042.

Almost surely, 2^{34799846973552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34799846973552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48897373872984).

34799846973552 is an abundant number, since it is smaller than the sum of its proper divisors (62994900772416).

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

34799846973552 is a wasteful number, since it uses less digits than its factorization.

34799846973552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501159 (or 501150 counting only the distinct ones).

The product of its digits is 12345177600, while the sum is 81.

The spelling of 34799846973552 in words is "thirty-four trillion, seven hundred ninety-nine billion, eight hundred forty-six million, nine hundred seventy-three thousand, five hundred fifty-two".