34781879662752 has 96 divisors (see below), whose sum is σ = 98705334369600. Its totient is φ = 10686893303808.

The previous prime is 34781879662741. The next prime is 34781879662757. The reversal of 34781879662752 is 25726697818743.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×34781879662752² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34781879662757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257621877 + ... + 257756852.

It is an arithmetic number, because the mean of its divisors is an integer number (1028180566350).

Almost surely, 2^{34781879662752} is an apocalyptic number.

34781879662752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34781879662752 is an abundant number, since it is smaller than the sum of its proper divisors (63923454706848).

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

34781879662752 is a wasteful number, since it uses less digits than its factorization.

34781879662752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515378798 (or 515378790 counting only the distinct ones).

The product of its digits is 1706987520, while the sum is 75.

The spelling of 34781879662752 in words is "thirty-four trillion, seven hundred eighty-one billion, eight hundred seventy-nine million, six hundred sixty-two thousand, seven hundred fifty-two".