3874432800 has 576 divisors, whose sum is σ = 15503007744. Its totient is φ = 821145600.

The previous prime is 3874432789. The next prime is 3874432831. The reversal of 3874432800 is 82344783.

It is a super-2 number, since 2×3874432800² = 30022459043431680000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14296665 + ... + 14296935.

It is an arithmetic number, because the mean of its divisors is an integer number (26914944).

Almost surely, 2^3874432800 is an apocalyptic number.

3874432800 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 3874432800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7751503872).

3874432800 is an abundant number, since it is smaller than the sum of its proper divisors (11628574944).

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

3874432800 is a wasteful number, since it uses less digits than its factorization.

3874432800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 3874432800 is about 62244.9419631828. The cubic root of 3874432800 is about 1570.6136862796.

The spelling of 3874432800 in words is "three billion, eight hundred seventy-four million, four hundred thirty-two thousand, eight hundred".