34456400 has 120 divisors (see below), whose sum is σ = 92994048. Its totient is φ = 12160000.

The previous prime is 34456397. The next prime is 34456417. The reversal of 34456400 is 465443.

It is a self number, because there is not a number n which added to its sum of digits gives 34456400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180305 + ... + 180495.

Almost surely, 2^34456400 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 34456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46497024).

34456400 is an abundant number, since it is smaller than the sum of its proper divisors (58537648).

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

34456400 is a wasteful number, since it uses less digits than its factorization.

34456400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 34456400 is about 5869.9574104077. The cubic root of 34456400 is about 325.4043094420.

The spelling of 34456400 in words is "thirty-four million, four hundred fifty-six thousand, four hundred".