3872141160960 has 320 divisors, whose sum is σ = 13018741604352. Its totient is φ = 979893927936.

The previous prime is 3872141160949. The next prime is 3872141160989. The reversal of 3872141160960 is 690611412783.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 22346977 + ... + 22519583.

Almost surely, 2^{3872141160960} is an apocalyptic number.

3872141160960 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 3872141160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6509370802176).

3872141160960 is an abundant number, since it is smaller than the sum of its proper divisors (9146600443392).

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

3872141160960 is a wasteful number, since it uses less digits than its factorization.

3872141160960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172783 (or 172767 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 3872141160960 in words is "three trillion, eight hundred seventy-two billion, one hundred forty-one million, one hundred sixty thousand, nine hundred sixty".