3874862400 has 168 divisors, whose sum is σ = 12749076864. Its totient is φ = 1030348800.

The previous prime is 3874862359. The next prime is 3874862429. The reversal of 3874862400 is 42684783.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2067864 + ... + 2069736.

Almost surely, 2^3874862400 is an apocalyptic number.

3874862400 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 3874862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374538432).

3874862400 is an abundant number, since it is smaller than the sum of its proper divisors (8874214464).

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

3874862400 is a wasteful number, since it uses less digits than its factorization.

3874862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 3874862400 is about 62248.3927503353. The cubic root of 3874862400 is about 1570.6717344067.

The spelling of 3874862400 in words is "three billion, eight hundred seventy-four million, eight hundred sixty-two thousand, four hundred".