34981040291328 has 160 divisors (see below), whose sum is σ = 104088443627520. Its totient is φ = 11599296952320.

The previous prime is 34981040291299. The next prime is 34981040291357. The reversal of 34981040291328 is 82319204018943.

34981040291328 is a `hidden beast` number, since 3 + 4 + 98 + 10 + 402 + 9 + 132 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (34981040291299) and next prime (34981040291357).

It is a super-2 number, since 2×34981040291328² (a number of 28 digits) 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3983850 + ... + 9264617.

It is an arithmetic number, because the mean of its divisors is an integer number (650552772672).

Almost surely, 2^{34981040291328} is an apocalyptic number.

It is an amenable number.

34981040291328 is an abundant number, since it is smaller than the sum of its proper divisors (69107403336192).

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

34981040291328 is a wasteful number, since it uses less digits than its factorization.

34981040291328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13248685 (or 13248663 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 34981040291328 in words is "thirty-four trillion, nine hundred eighty-one billion, forty million, two hundred ninety-one thousand, three hundred twenty-eight".