34931720718972 has 1152 divisors, whose sum is σ = 130333954867200. Its totient is φ = 7828727500800.

The previous prime is 34931720718931. The next prime is 34931720719177. The reversal of 34931720718972 is 27981702713943.

34931720718972 is a `hidden beast` number, since 3 + 49 + 317 + 207 + 1 + 8 + 9 + 72 = 666.

It is a super-2 number, since 2×34931720718972² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1415545498 + ... + 1415570174.

It is an arithmetic number, because the mean of its divisors is an integer number (113137113600).

Almost surely, 2^{34931720718972} 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 34931720718972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65166977433600).

34931720718972 is an abundant number, since it is smaller than the sum of its proper divisors (95402234148228).

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

34931720718972 is a wasteful number, since it uses less digits than its factorization.

34931720718972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24792 (or 24767 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 34931720718972 in words is "thirty-four trillion, nine hundred thirty-one billion, seven hundred twenty million, seven hundred eighteen thousand, nine hundred seventy-two".