34320456 has 64 divisors (see below), whose sum is σ = 98640000. Its totient is φ = 11043648.

The previous prime is 34320449. The next prime is 34320457. The reversal of 34320456 is 65402343.

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 (34320457) 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, 3525 + ... + 9003.

It is an arithmetic number, because the mean of its divisors is an integer number (1541250).

Almost surely, 2^34320456 is an apocalyptic number.

34320456 is a gapful number since it is divisible by the number (36) 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 34320456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49320000).

34320456 is an abundant number, since it is smaller than the sum of its proper divisors (64319544).

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

34320456 is a wasteful number, since it uses less digits than its factorization.

34320456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5523 (or 5513 counting only the distinct ones).

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

The square root of 34320456 is about 5858.3663251797. The cubic root of 34320456 is about 324.9757962251.

Adding to 34320456 its reverse (65402343), we get a palindrome (99722799).

The spelling of 34320456 in words is "thirty-four million, three hundred twenty thousand, four hundred fifty-six".