34868400 has 180 divisors, whose sum is σ = 130150152. Its totient is φ = 7956480.

The previous prime is 34868371. The next prime is 34868417. The reversal of 34868400 is 486843.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58504 + ... + 59096.

Almost surely, 2^34868400 is an apocalyptic number.

34868400 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 34868400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65075076).

34868400 is an abundant number, since it is smaller than the sum of its proper divisors (95281752).

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

34868400 is a wasteful number, since it uses less digits than its factorization.

34868400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 34868400 is about 5904.9470785097. The cubic root of 34868400 is about 326.6961424650.

The spelling of 34868400 in words is "thirty-four million, eight hundred sixty-eight thousand, four hundred".