34013100431232 has 256 divisors, whose sum is σ = 109940223456000. Its totient is φ = 10288186030080.

The previous prime is 34013100431231. The next prime is 34013100431257. The reversal of 34013100431232 is 23213400131043.

It is a happy number.

34013100431232 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 310 + 0 + 4 + 312 + 32 = 666.

It is a super-2 number, since 2×34013100431232² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34013100431196 and 34013100431205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34013100431231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3764994 + ... + 9066497.

It is an arithmetic number, because the mean of its divisors is an integer number (429453997875).

Almost surely, 2^{34013100431232} is an apocalyptic number.

34013100431232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34013100431232 is an abundant number, since it is smaller than the sum of its proper divisors (75927123024768).

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

34013100431232 is a wasteful number, since it uses less digits than its factorization.

34013100431232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12831586 (or 12831568 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 34013100431232 its reverse (23213400131043), we get a palindrome (57226500562275).

The spelling of 34013100431232 in words is "thirty-four trillion, thirteen billion, one hundred million, four hundred thirty-one thousand, two hundred thirty-two".