34070632320 has 128 divisors (see below), whose sum is σ = 113322032640. Its totient is φ = 8690468864.

The previous prime is 34070632319. The next prime is 34070632327. The reversal of 34070632320 is 2323607043.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34070632327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341604 + ... + 429923.

It is an arithmetic number, because the mean of its divisors is an integer number (885328380).

Almost surely, 2^34070632320 is an apocalyptic number.

34070632320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34070632320 is an abundant number, since it is smaller than the sum of its proper divisors (79251400320).

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

34070632320 is a wasteful number, since it uses less digits than its factorization.

34070632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771572 (or 771560 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 30.

The spelling of 34070632320 in words is "thirty-four billion, seventy million, six hundred thirty-two thousand, three hundred twenty".