34097920 has 72 divisors (see below), whose sum is σ = 86534784. Its totient is φ = 12828672.

The previous prime is 34097911. The next prime is 34097941. The reversal of 34097920 is 2979043.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 20977 + ... + 22543.

It is an arithmetic number, because the mean of its divisors is an integer number (1201872).

Almost surely, 2^34097920 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 34097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43267392).

34097920 is an abundant number, since it is smaller than the sum of its proper divisors (52436864).

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

34097920 is a wasteful number, since it uses less digits than its factorization.

34097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 34097920 is about 5839.3424287329. The cubic root of 34097920 is about 324.2718847748.

The spelling of 34097920 in words is "thirty-four million, ninety-seven thousand, nine hundred twenty".