34536900 has 36 divisors (see below), whose sum is σ = 99927632. Its totient is φ = 9209760.

The previous prime is 34536863. The next prime is 34536907. The reversal of 34536900 is 963543.

It is a happy number.

It is a super-2 number, since 2×34536900² = 2385594923220000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (34536907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57262 + ... + 57861.

Almost surely, 2^34536900 is an apocalyptic number.

34536900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34536900 is an abundant number, since it is smaller than the sum of its proper divisors (65390732).

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

34536900 is a wasteful number, since it uses less digits than its factorization.

34536900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115140 (or 115133 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 34536900 is about 5876.8103593701. The cubic root of 34536900 is about 325.6575248451.

The spelling of 34536900 in words is "thirty-four million, five hundred thirty-six thousand, nine hundred".