34934400 has 144 divisors (see below), whose sum is σ = 124756710. Its totient is φ = 9308160.

The previous prime is 34934399. The next prime is 34934411. The reversal of 34934400 is 443943.

It can be written as a sum of positive squares in 3 ways, for example, as 16064064 + 18870336 = 4008^2 + 4344^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28194 + ... + 29406.

Almost surely, 2^34934400 is an apocalyptic number.

34934400 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 34934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62378355).

34934400 is an abundant number, since it is smaller than the sum of its proper divisors (89822310).

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

34934400 is a wasteful number, since it uses less digits than its factorization.

34934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 34934400 is about 5910.5329708919. The cubic root of 34934400 is about 326.9021394452.

The spelling of 34934400 in words is "thirty-four million, nine hundred thirty-four thousand, four hundred".