3852648000 has 336 divisors, whose sum is σ = 13989411696. Its totient is φ = 1011916800.

The previous prime is 3852647989. The next prime is 3852648029. The reversal of 3852648000 is 8462583.

3852648000 is a `hidden beast` number, since 3 + 8 + 5 + 2 + 648 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 241118784 + 3611529216 = 15528^2 + 60096^2 .

It is a super-2 number, since 2×3852648000² = 29685793223808000000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 5255634 + ... + 5256366.

Almost surely, 2^3852648000 is an apocalyptic number.

3852648000 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 3852648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6994705848).

3852648000 is an abundant number, since it is smaller than the sum of its proper divisors (10136763696).

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

3852648000 is a wasteful number, since it uses less digits than its factorization.

3852648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3852648000 is about 62069.7027542423. The cubic root of 3852648000 is about 1567.6644516610.

The spelling of 3852648000 in words is "three billion, eight hundred fifty-two million, six hundred forty-eight thousand".