34704693216 has 192 divisors, whose sum is σ = 104840386560. Its totient is φ = 11161704960.

The previous prime is 34704693137. The next prime is 34704693259. The reversal of 34704693216 is 61239640743.

34704693216 is a `hidden beast` number, since 347 + 0 + 4 + 6 + 93 + 216 = 666.

It is a congruent number.

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, 2877150 + ... + 2889186.

It is an arithmetic number, because the mean of its divisors is an integer number (546043680).

Almost surely, 2^34704693216 is an apocalyptic number.

34704693216 is a gapful number since it is divisible by the number (36) 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 34704693216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52420193280).

34704693216 is an abundant number, since it is smaller than the sum of its proper divisors (70135693344).

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

34704693216 is a wasteful number, since it uses less digits than its factorization.

34704693216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12174 (or 12160 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 34704693216 in words is "thirty-four billion, seven hundred four million, six hundred ninety-three thousand, two hundred sixteen".