34972400 has 120 divisors (see below), whose sum is σ = 92025360. Its totient is φ = 12718080.

The previous prime is 34972393. The next prime is 34972403. The reversal of 34972400 is 427943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34972403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251531 + ... + 251669.

It is an arithmetic number, because the mean of its divisors is an integer number (766878).

Almost surely, 2^34972400 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 34972400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46012680).

34972400 is an abundant number, since it is smaller than the sum of its proper divisors (57052960).

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

34972400 is a wasteful number, since it uses less digits than its factorization.

34972400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 34972400 is about 5913.7466973147. The cubic root of 34972400 is about 327.0206260934.

The spelling of 34972400 in words is "thirty-four million, nine hundred seventy-two thousand, four hundred".