3835728000 has 512 divisors, whose sum is σ = 15237331200. Its totient is φ = 942796800.

The previous prime is 3835727993. The next prime is 3835728019. The reversal of 3835728000 is 8275383.

3835728000 is a `hidden beast` number, since 3 + 8 + 3 + 572 + 80 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5615659 + ... + 5616341.

Almost surely, 2^3835728000 is an apocalyptic number.

3835728000 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 3835728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7618665600).

3835728000 is an abundant number, since it is smaller than the sum of its proper divisors (11401603200).

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

3835728000 is a wasteful number, since it uses less digits than its factorization.

3835728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3835728000 is about 61933.2543953569. The cubic root of 3835728000 is about 1565.3661356227.

The spelling of 3835728000 in words is "three billion, eight hundred thirty-five million, seven hundred twenty-eight thousand".