34760955216 has 240 divisors, whose sum is σ = 102416222720. Its totient is φ = 10088755200.

The previous prime is 34760955199. The next prime is 34760955223. The reversal of 34760955216 is 61255906743.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32516730 + ... + 32517798.

Almost surely, 2^34760955216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34760955216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51208111360).

34760955216 is an abundant number, since it is smaller than the sum of its proper divisors (67655267504).

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

34760955216 is a wasteful number, since it uses less digits than its factorization.

34760955216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 34760955216 in words is "thirty-four billion, seven hundred sixty million, nine hundred fifty-five thousand, two hundred sixteen".