3397132800 has 360 divisors, whose sum is σ = 12501645156. Its totient is φ = 880312320.

The previous prime is 3397132757. The next prime is 3397132901. The reversal of 3397132800 is 82317933.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1962844416 + 1434288384 = 44304^2 + 37872^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3397132800² = 23081022521671680000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4262002 + ... + 4262798.

Almost surely, 2^3397132800 is an apocalyptic number.

3397132800 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 3397132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6250822578).

3397132800 is an abundant number, since it is smaller than the sum of its proper divisors (9104512356).

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

3397132800 is a wasteful number, since it uses less digits than its factorization.

3397132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3397132800 is about 58284.9277257852. The cubic root of 3397132800 is about 1503.2717917306.

The spelling of 3397132800 in words is "three billion, three hundred ninety-seven million, one hundred thirty-two thousand, eight hundred".