3875376960 has 1120 divisors, whose sum is σ = 17844406272. Its totient is φ = 776355840.

The previous prime is 3875376931. The next prime is 3875376977. The reversal of 3875376960 is 696735783.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3875376897 and 3875376906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 73120294 + ... + 73120346.

Almost surely, 2^3875376960 is an apocalyptic number.

3875376960 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 3875376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8922203136).

3875376960 is an abundant number, since it is smaller than the sum of its proper divisors (13969029312).

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

3875376960 is a wasteful number, since it uses less digits than its factorization.

3875376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 3875376960 is about 62252.5257318930. The cubic root of 3875376960 is about 1570.7412567959.

The spelling of 3875376960 in words is "three billion, eight hundred seventy-five million, three hundred seventy-six thousand, nine hundred sixty".