34623637920 has 120 divisors (see below), whose sum is σ = 122192634564. Its totient is φ = 9232966656.

The previous prime is 34623637913. The next prime is 34623637931. The reversal of 34623637920 is 2973632643.

34623637920 is a `hidden beast` number, since 3 + 4 + 6 + 2 + 3 + 637 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34493404176 + 130233744 = 185724^2 + 11412^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1322829 + ... + 1348748.

Almost surely, 2^34623637920 is an apocalyptic number.

34623637920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34623637920 is an abundant number, since it is smaller than the sum of its proper divisors (87568996644).

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

34623637920 is a wasteful number, since it uses less digits than its factorization.

34623637920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671604 (or 2671587 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 34623637920 in words is "thirty-four billion, six hundred twenty-three million, six hundred thirty-seven thousand, nine hundred twenty".