3857284800 has 294 divisors, whose sum is σ = 14234790428. Its totient is φ = 1028298240.

The previous prime is 3857284799. The next prime is 3857284811. The reversal of 3857284800 is 84827583.

3857284800 is a `hidden beast` number, since 38 + 572 + 8 + 48 + 0 + 0 = 666.

It is a super-2 number, since 2×3857284800² = 29757292056622080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1164747 + ... + 1168053.

Almost surely, 2^3857284800 is an apocalyptic number.

3857284800 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 3857284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7117395214).

3857284800 is an abundant number, since it is smaller than the sum of its proper divisors (10377505628).

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

3857284800 is an equidigital number, since it uses as much as digits as its factorization.

3857284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3347 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 3857284800 is about 62107.0430788651. The cubic root of 3857284800 is about 1568.2931129810.

The spelling of 3857284800 in words is "three billion, eight hundred fifty-seven million, two hundred eighty-four thousand, eight hundred".