3900027664 has 160 divisors (see below), whose sum is σ = 9095417856. Its totient is φ = 1602478080.

The previous prime is 3900027643. The next prime is 3900027673. The reversal of 3900027664 is 4667200093.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5151574 + ... + 5152330.

Almost surely, 2^3900027664 is an apocalyptic number.

3900027664 is a gapful number since it is divisible by the number (34) 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 3900027664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4547708928).

3900027664 is an abundant number, since it is smaller than the sum of its proper divisors (5195390192).

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

3900027664 is a wasteful number, since it uses less digits than its factorization.

3900027664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 3900027664 is about 62450.2014728536. The cubic root of 3900027664 is about 1574.0646384022.

The spelling of 3900027664 in words is "three billion, nine hundred million, twenty-seven thousand, six hundred sixty-four".