3964592086000 has 320 divisors, whose sum is σ = 11821469377536. Its totient is φ = 1252298880000.

The previous prime is 3964592085967. The next prime is 3964592086027. The reversal of 3964592086000 is 6802954693.

3964592086000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

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, 95165175 + ... + 95206825.

Almost surely, 2^{3964592086000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3964592086000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5910734688768).

3964592086000 is an abundant number, since it is smaller than the sum of its proper divisors (7856877291536).

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

3964592086000 is a wasteful number, since it uses less digits than its factorization.

3964592086000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42217 (or 42201 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 3964592086000 in words is "three trillion, nine hundred sixty-four billion, five hundred ninety-two million, eighty-six thousand".