3374092800 has 480 divisors, whose sum is σ = 13354978560. Its totient is φ = 829440000.

The previous prime is 3374092753. The next prime is 3374092829. The reversal of 3374092800 is 82904733.

3374092800 is a `hidden beast` number, since 3 + 374 + 0 + 9 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3374092800² = 22769004446023680000, 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 47 ways as a sum of consecutive naturals, for example, 4492425 + ... + 4493175.

It is an arithmetic number, because the mean of its divisors is an integer number (27822872).

Almost surely, 2^3374092800 is an apocalyptic number.

3374092800 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 3374092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6677489280).

3374092800 is an abundant number, since it is smaller than the sum of its proper divisors (9980885760).

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

3374092800 is a wasteful number, since it uses less digits than its factorization.

3374092800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3374092800 is about 58086.9417339216. The cubic root of 3374092800 is about 1499.8655879560.

The spelling of 3374092800 in words is "three billion, three hundred seventy-four million, ninety-two thousand, eight hundred".