346996800 has 126 divisors (see below), whose sum is σ = 1233359738. Its totient is φ = 92528640.

The previous prime is 346996757. The next prime is 346996831. The reversal of 346996800 is 8699643.

It can be written as a sum of positive squares in 3 ways, for example, as 54997056 + 291999744 = 7416^2 + 17088^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2352 + ... + 26448.

Almost surely, 2^346996800 is an apocalyptic number.

346996800 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 346996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616679869).

346996800 is an abundant number, since it is smaller than the sum of its proper divisors (886362938).

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

346996800 is a wasteful number, since it uses less digits than its factorization.

346996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24125 (or 24107 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 346996800 is about 18627.8501174988. The cubic root of 346996800 is about 702.7084187178.

The spelling of 346996800 in words is "three hundred forty-six million, nine hundred ninety-six thousand, eight hundred".