34348800 has 108 divisors (see below), whose sum is σ = 113421560. Its totient is φ = 9154560.

The previous prime is 34348799. The next prime is 34348813. The reversal of 34348800 is 884343.

It is a super-2 number, since 2×34348800² = 2359680122880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18306 + ... + 20094.

Almost surely, 2^34348800 is an apocalyptic number.

34348800 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 34348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56710780).

34348800 is an abundant number, since it is smaller than the sum of its proper divisors (79072760).

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

34348800 is a wasteful number, since it uses less digits than its factorization.

34348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 34348800 is about 5860.7849303656. The cubic root of 34348800 is about 325.0652334539.

The spelling of 34348800 in words is "thirty-four million, three hundred forty-eight thousand, eight hundred".