3376342800 has 360 divisors, whose sum is σ = 12704481504. Its totient is φ = 827043840.

The previous prime is 3376342789. The next prime is 3376342819. The reversal of 3376342800 is 82436733.

3376342800 is a `hidden beast` number, since 3 + 376 + 3 + 4 + 280 + 0 = 666.

3376342800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×3376342800² = 22799381406223680000, 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2630959 + ... + 2632241.

Almost surely, 2^3376342800 is an apocalyptic number.

3376342800 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 3376342800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6352240752).

3376342800 is an abundant number, since it is smaller than the sum of its proper divisors (9328138704).

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

3376342800 is a wasteful number, since it uses less digits than its factorization.

3376342800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3376342800 is about 58106.3060261105. The cubic root of 3376342800 is about 1500.1989069562.

The spelling of 3376342800 in words is "three billion, three hundred seventy-six million, three hundred forty-two thousand, eight hundred".