3862274400 has 360 divisors, whose sum is σ = 14831003880. Its totient is φ = 975421440.

The previous prime is 3862274389. The next prime is 3862274411. The reversal of 3862274400 is 44722683.

3862274400 is a `hidden beast` number, since 386 + 2 + 274 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3862274389) and next prime (3862274411).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1229632 + ... + 1232768.

It is an arithmetic number, because the mean of its divisors is an integer number (41197233).

Almost surely, 2^3862274400 is an apocalyptic number.

3862274400 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 3862274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7415501940).

3862274400 is an abundant number, since it is smaller than the sum of its proper divisors (10968729480).

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

3862274400 is a wasteful number, since it uses less digits than its factorization.

3862274400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3188 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3862274400 is about 62147.1994541991. The cubic root of 3862274400 is about 1568.9690447190.

The spelling of 3862274400 in words is "three billion, eight hundred sixty-two million, two hundred seventy-four thousand, four hundred".