34385920 has 104 divisors (see below), whose sum is σ = 87283296. Its totient is φ = 12976128.

The previous prime is 34385899. The next prime is 34385927. The reversal of 34385920 is 2958343.

34385920 = 650² + 651² + ... + 722².

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34385927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 471004 + ... + 471076.

Almost surely, 2^34385920 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 34385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43641648).

34385920 is an abundant number, since it is smaller than the sum of its proper divisors (52897376).

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

34385920 is an equidigital number, since it uses as much as digits as its factorization.

34385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 34385920 is about 5863.9508865610. The cubic root of 34385920 is about 325.1822882703.

The spelling of 34385920 in words is "thirty-four million, three hundred eighty-five thousand, nine hundred twenty".