34512920 has 64 divisors (see below), whose sum is σ = 86365440. Its totient is φ = 12326400.

The previous prime is 34512917. The next prime is 34512923. The reversal of 34512920 is 2921543.

It is an interprime number because it is at equal distance from previous prime (34512917) and next prime (34512923).

It is a super-2 number, since 2×34512920² = 2382283293852800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 34512920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34512923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15050 + ... + 17190.

It is an arithmetic number, because the mean of its divisors is an integer number (1349460).

Almost surely, 2^34512920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34512920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43182720).

34512920 is an abundant number, since it is smaller than the sum of its proper divisors (51852520).

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

34512920 is a wasteful number, since it uses less digits than its factorization.

34512920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 34512920 is about 5874.7697827234. The cubic root of 34512920 is about 325.5821361492.

The spelling of 34512920 in words is "thirty-four million, five hundred twelve thousand, nine hundred twenty".