34313836032 has 480 divisors, whose sum is σ = 119234332800. Its totient is φ = 9714733056.

The previous prime is 34313836009. The next prime is 34313836043. The reversal of 34313836032 is 23063831343.

34313836032 is a `hidden beast` number, since 3 + 43 + 1 + 3 + 8 + 3 + 603 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121250163 + ... + 121250445.

It is an arithmetic number, because the mean of its divisors is an integer number (248404860).

Almost surely, 2^34313836032 is an apocalyptic number.

34313836032 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 34313836032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59617166400).

34313836032 is an abundant number, since it is smaller than the sum of its proper divisors (84920496768).

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

34313836032 is a wasteful number, since it uses less digits than its factorization.

34313836032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 34313836032 in words is "thirty-four billion, three hundred thirteen million, eight hundred thirty-six thousand, thirty-two".