34532414640 has 160 divisors (see below), whose sum is σ = 119033304000. Its totient is φ = 9201807360.

The previous prime is 34532414621. The next prime is 34532414681. The reversal of 34532414640 is 4641423543.

34532414640 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 2 + 4 + 1 + 4 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34532414595 and 34532414604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3340680 + ... + 3351000.

It is an arithmetic number, because the mean of its divisors is an integer number (743958150).

Almost surely, 2^34532414640 is an apocalyptic number.

34532414640 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 34532414640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59516652000).

34532414640 is an abundant number, since it is smaller than the sum of its proper divisors (84500889360).

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

34532414640 is a wasteful number, since it uses less digits than its factorization.

34532414640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11892 (or 11880 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 34532414640 in words is "thirty-four billion, five hundred thirty-two million, four hundred fourteen thousand, six hundred forty".