3894912000 has 1056 divisors, whose sum is σ = 17473847040. Its totient is φ = 851558400.

The previous prime is 3894911987. The next prime is 3894912059. The reversal of 3894912000 is 2194983.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169343989 + ... + 169344011.

Almost surely, 2^3894912000 is an apocalyptic number.

3894912000 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 3894912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8736923520).

3894912000 is an abundant number, since it is smaller than the sum of its proper divisors (13578935040).

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

3894912000 is a wasteful number, since it uses less digits than its factorization.

3894912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 3894912000 is about 62409.2300865825. The cubic root of 3894912000 is about 1573.3761040433.

The spelling of 3894912000 in words is "three billion, eight hundred ninety-four million, nine hundred twelve thousand".