34512524040 has 128 divisors (see below), whose sum is σ = 106471440000. Its totient is φ = 8943187968.

The previous prime is 34512523999. The next prime is 34512524051. The reversal of 34512524040 is 4042521543.

It is a super-2 number, since 2×34512524040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34512523989 and 34512524007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3809436 + ... + 3818484.

It is an arithmetic number, because the mean of its divisors is an integer number (831808125).

Almost surely, 2^34512524040 is an apocalyptic number.

34512524040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34512524040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53235720000).

34512524040 is an abundant number, since it is smaller than the sum of its proper divisors (71958915960).

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

34512524040 is a wasteful number, since it uses less digits than its factorization.

34512524040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9959 (or 9955 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 34512524040 in words is "thirty-four billion, five hundred twelve million, five hundred twenty-four thousand, forty".