34990400 has 84 divisors (see below), whose sum is σ = 90708480. Its totient is φ = 13248000.

The previous prime is 34990399. The next prime is 34990409. The reversal of 34990400 is 409943.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34990409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29825 + ... + 30975.

Almost surely, 2^34990400 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 34990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45354240).

34990400 is an abundant number, since it is smaller than the sum of its proper divisors (55718080).

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

34990400 is a wasteful number, since it uses less digits than its factorization.

34990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 34990400 is about 5915.2683793721. The cubic root of 34990400 is about 327.0767213921.

The spelling of 34990400 in words is "thirty-four million, nine hundred ninety thousand, four hundred".