34900800 has 168 divisors, whose sum is σ = 125102112. Its totient is φ = 8448000.

The previous prime is 34900793. The next prime is 34900849. The reversal of 34900800 is 800943.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52470 + ... + 53130.

Almost surely, 2^34900800 is an apocalyptic number.

34900800 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 34900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62551056).

34900800 is an abundant number, since it is smaller than the sum of its proper divisors (90201312).

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

34900800 is a wasteful number, since it uses less digits than its factorization.

34900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 34900800 is about 5907.6899038457. The cubic root of 34900800 is about 326.7973007073.

The spelling of 34900800 in words is "thirty-four million, nine hundred thousand, eight hundred".