34513920 has 264 divisors, whose sum is σ = 137951424. Its totient is φ = 7815168.

The previous prime is 34513909. The next prime is 34513931. The reversal of 34513920 is 2931543.

It is an interprime number because it is at equal distance from previous prime (34513909) and next prime (34513931).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322507 + ... + 322613.

Almost surely, 2^34513920 is an apocalyptic number.

34513920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68975712).

34513920 is an abundant number, since it is smaller than the sum of its proper divisors (103437504).

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

34513920 is a wasteful number, since it uses less digits than its factorization.

34513920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 34513920 is about 5874.8548918250. The cubic root of 34513920 is about 325.5852806624.

The spelling of 34513920 in words is "thirty-four million, five hundred thirteen thousand, nine hundred twenty".