34486206900 has 72 divisors (see below), whose sum is σ = 104118377664. Its totient is φ = 8796480000.

The previous prime is 34486206883. The next prime is 34486206917. The reversal of 34486206900 is 960268443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34486206883) and next prime (34486206917).

It is a super-2 number, since 2×34486206900² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2492101 + ... + 2505900.

Almost surely, 2^34486206900 is an apocalyptic number.

34486206900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34486206900 is an abundant number, since it is smaller than the sum of its proper divisors (69632170764).

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

34486206900 is a wasteful number, since it uses less digits than its factorization.

34486206900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4998041 (or 4998034 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 34486206900 in words is "thirty-four billion, four hundred eighty-six million, two hundred six thousand, nine hundred".