34536964032 has 224 divisors, whose sum is σ = 103333539840. Its totient is φ = 11451062016.

The previous prime is 34536963973. The next prime is 34536964067. The reversal of 34536964032 is 23046963543.

It is a congruent number.

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, 31772193 + ... + 31773279.

Almost surely, 2^34536964032 is an apocalyptic number.

34536964032 is a gapful number since it is divisible by the number (32) 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 34536964032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51666769920).

34536964032 is an abundant number, since it is smaller than the sum of its proper divisors (68796575808).

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

34536964032 is an equidigital number, since it uses as much as digits as its factorization.

34536964032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 34536964032 in words is "thirty-four billion, five hundred thirty-six million, nine hundred sixty-four thousand, thirty-two".