34621920 has 72 divisors (see below), whose sum is σ = 118152216. Its totient is φ = 9232128.

The previous prime is 34621913. The next prime is 34621927. The reversal of 34621920 is 2912643.

34621920 is a `hidden beast` number, since 34 + 621 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34621913) and next prime (34621927).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×34621920³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34621927) 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, 10582 + ... + 13461.

It is an arithmetic number, because the mean of its divisors is an integer number (1641003).

Almost surely, 2^34621920 is an apocalyptic number.

34621920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34621920 is an abundant number, since it is smaller than the sum of its proper divisors (83530296).

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

34621920 is a wasteful number, since it uses less digits than its factorization.

34621920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24064 (or 24053 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 34621920 is about 5884.0394288278. The cubic root of 34621920 is about 325.9245311898.

The spelling of 34621920 in words is "thirty-four million, six hundred twenty-one thousand, nine hundred twenty".