3964590000 has 900 divisors, whose sum is σ = 17222736960. Its totient is φ = 846720000.

The previous prime is 3964589987. The next prime is 3964590023. The reversal of 3964590000 is 954693.

3964590000 is a `hidden beast` number, since 3 + 9 + 64 + 590 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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 179 ways as a sum of consecutive naturals, for example, 127889985 + ... + 127890015.

Almost surely, 2^3964590000 is an apocalyptic number.

3964590000 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 3964590000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8611368480).

3964590000 is an abundant number, since it is smaller than the sum of its proper divisors (13258146960).

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

3964590000 is a wasteful number, since it uses less digits than its factorization.

3964590000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3964590000 is about 62964.9902723728. The cubic root of 3964590000 is about 1582.7030054852.

The spelling of 3964590000 in words is "three billion, nine hundred sixty-four million, five hundred ninety thousand".