34535920 has 40 divisors (see below), whose sum is σ = 84525840. Its totient is φ = 13086720.

The previous prime is 34535909. The next prime is 34535927. The reversal of 34535920 is 2953543.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34535927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9841 + ... + 12880.

It is an arithmetic number, because the mean of its divisors is an integer number (2113146).

Almost surely, 2^34535920 is an apocalyptic number.

It is an amenable number.

34535920 is an abundant number, since it is smaller than the sum of its proper divisors (49989920).

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

34535920 is a wasteful number, since it uses less digits than its factorization.

34535920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22753 (or 22747 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

The square root of 34535920 is about 5876.7269802161. The cubic root of 34535920 is about 325.6544445899.

The spelling of 34535920 in words is "thirty-four million, five hundred thirty-five thousand, nine hundred twenty".