34456320 has 144 divisors (see below), whose sum is σ = 122394720. Its totient is φ = 9179136.

The previous prime is 34456249. The next prime is 34456327. The reversal of 34456320 is 2365443.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34456327) 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, 34062 + ... + 35058.

Almost surely, 2^34456320 is an apocalyptic number.

34456320 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 34456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61197360).

34456320 is an abundant number, since it is smaller than the sum of its proper divisors (87938400).

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

34456320 is an equidigital number, since it uses as much as digits as its factorization.

34456320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 34456320 is about 5869.9505960442. The cubic root of 34456320 is about 325.4040576033.

The spelling of 34456320 in words is "thirty-four million, four hundred fifty-six thousand, three hundred twenty".