34572745754640 has 60 divisors (see below), whose sum is σ = 116106804495084. Its totient is φ = 9219398867712.

The previous prime is 34572745754567. The next prime is 34572745754641. The reversal of 34572745754640 is 4645754727543.

34572745754640 is a `hidden beast` number, since 3 + 4 + 5 + 7 + 2 + 7 + 45 + 7 + 546 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24435068057856 + 10137677696784 = 4943184^2 + 3183972^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (34572745754641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24008850499 + ... + 24008851938.

Almost surely, 2^{34572745754640} is an apocalyptic number.

34572745754640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34572745754640 is an abundant number, since it is smaller than the sum of its proper divisors (81534058740444).

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

34572745754640 is a wasteful number, since it uses less digits than its factorization.

34572745754640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48017702456 (or 48017702447 counting only the distinct ones).

The product of its (nonzero) digits is 395136000, while the sum is 63.

The spelling of 34572745754640 in words is "thirty-four trillion, five hundred seventy-two billion, seven hundred forty-five million, seven hundred fifty-four thousand, six hundred forty".