34960920000 has 560 divisors, whose sum is σ = 123404497920. Its totient is φ = 8712704000.

The previous prime is 34960919963. The next prime is 34960920031. The reversal of 34960920000 is 2906943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 146279881 + ... + 146280119.

Almost surely, 2^34960920000 is an apocalyptic number.

34960920000 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 34960920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61702248960).

34960920000 is an abundant number, since it is smaller than the sum of its proper divisors (88443577920).

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

34960920000 is a wasteful number, since it uses less digits than its factorization.

34960920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The spelling of 34960920000 in words is "thirty-four billion, nine hundred sixty million, nine hundred twenty thousand".