3989001600 has 384 divisors, whose sum is σ = 14748832800. Its totient is φ = 1052835840.

The previous prime is 3989001563. The next prime is 3989001617. The reversal of 3989001600 is 61009893.

It is a tau number, because it is divible by the number of its divisors (384).

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, 11836632 + ... + 11836968.

Almost surely, 2^3989001600 is an apocalyptic number.

3989001600 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 3989001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7374416400).

3989001600 is an abundant number, since it is smaller than the sum of its proper divisors (10759831200).

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

3989001600 is a wasteful number, since it uses less digits than its factorization.

3989001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 3989001600 is about 63158.5433650904. The cubic root of 3989001600 is about 1585.9448104802.

The spelling of 3989001600 in words is "three billion, nine hundred eighty-nine million, one thousand, six hundred".