34609920 has 72 divisors (see below), whose sum is σ = 110547696. Its totient is φ = 9228288.

The previous prime is 34609903. The next prime is 34609937. The reversal of 34609920 is 2990643.

It is an interprime number because it is at equal distance from previous prime (34609903) and next prime (34609937).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 667 + ... + 8346.

Almost surely, 2^34609920 is an apocalyptic number.

34609920 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 34609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55273848).

34609920 is an abundant number, since it is smaller than the sum of its proper divisors (75937776).

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

34609920 is an equidigital number, since it uses as much as digits as its factorization.

34609920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9037 (or 9023 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 34609920 is about 5883.0196328076. The cubic root of 34609920 is about 325.8868715576.

The spelling of 34609920 in words is "thirty-four million, six hundred nine thousand, nine hundred twenty".