34856400 has 120 divisors (see below), whose sum is σ = 115381504. Its totient is φ = 8985600.

The previous prime is 34856399. The next prime is 34856417. The reversal of 34856400 is 465843.

34856400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36732 + ... + 37668.

Almost surely, 2^34856400 is an apocalyptic number.

34856400 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 34856400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57690752).

34856400 is an abundant number, since it is smaller than the sum of its proper divisors (80525104).

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

34856400 is a wasteful number, since it uses less digits than its factorization.

34856400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 34856400 is about 5903.9308939045. The cubic root of 34856400 is about 326.6586605470.

The spelling of 34856400 in words is "thirty-four million, eight hundred fifty-six thousand, four hundred".