3870129086964 has 144 divisors (see below), whose sum is σ = 11608007419008. Its totient is φ = 1104459245568.

The previous prime is 3870129086959. The next prime is 3870129087017. The reversal of 3870129086964 is 4696809210783.

3870129086964 is a `hidden beast` number, since 387 + 0 + 1 + 2 + 90 + 86 + 96 + 4 = 666.

3870129086964 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 (63).

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, 5499172 + ... + 6162884.

It is an arithmetic number, because the mean of its divisors is an integer number (80611162632).

Almost surely, 2^{3870129086964} 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 3870129086964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5804003709504).

3870129086964 is an abundant number, since it is smaller than the sum of its proper divisors (7737878332044).

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

3870129086964 is a wasteful number, since it uses less digits than its factorization.

3870129086964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664596 (or 664582 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 3870129086964 in words is "three trillion, eight hundred seventy billion, one hundred twenty-nine million, eighty-six thousand, nine hundred sixty-four".