34102339920 has 180 divisors, whose sum is σ = 125885398548. Its totient is φ = 8267212800.

The previous prime is 34102339907. The next prime is 34102339963. The reversal of 34102339920 is 2993320143.

34102339920 is a `hidden beast` number, since 3 + 410 + 233 + 9 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12323664144 + 21778675776 = 111012^2 + 147576^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 108601 + ... + 282840.

Almost surely, 2^34102339920 is an apocalyptic number.

34102339920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34102339920 is an abundant number, since it is smaller than the sum of its proper divisors (91783058628).

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

34102339920 is a wasteful number, since it uses less digits than its factorization.

34102339920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391482 (or 391462 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 34102339920 in words is "thirty-four billion, one hundred two million, three hundred thirty-nine thousand, nine hundred twenty".