34939800 has 288 divisors, whose sum is σ = 139276800. Its totient is φ = 7683840.

The previous prime is 34939787. The next prime is 34939819. The reversal of 34939800 is 893943.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 592171 + ... + 592229.

It is an arithmetic number, because the mean of its divisors is an integer number (483600).

Almost surely, 2^34939800 is an apocalyptic number.

34939800 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 34939800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69638400).

34939800 is an abundant number, since it is smaller than the sum of its proper divisors (104337000).

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

34939800 is a wasteful number, since it uses less digits than its factorization.

34939800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 34939800 is about 5910.9897648363. The cubic root of 34939800 is about 326.9189822573.

The spelling of 34939800 in words is "thirty-four million, nine hundred thirty-nine thousand, eight hundred".