3969089372160 has 2048 divisors, whose sum is σ = 16714885248000. Its totient is φ = 894361927680.

The previous prime is 3969089372159. The next prime is 3969089372177. The reversal of 3969089372160 is 612739809693.

3969089372160 is a `hidden beast` number, since 3 + 96 + 90 + 89 + 372 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74888478694 + ... + 74888478746.

Almost surely, 2^{3969089372160} is an apocalyptic number.

3969089372160 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 3969089372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8357442624000).

3969089372160 is an abundant number, since it is smaller than the sum of its proper divisors (12745795875840).

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

3969089372160 is an frugal number, since it uses more digits than its factorization.

3969089372160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 3969089372160 in words is "three trillion, nine hundred sixty-nine billion, eighty-nine million, three hundred seventy-two thousand, one hundred sixty".