3975252960 has 384 divisors, whose sum is σ = 15288376320. Its totient is φ = 848019456.

The previous prime is 3975252947. The next prime is 3975252991. The reversal of 3975252960 is 692525793.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4659894 + ... + 4660746.

It is an arithmetic number, because the mean of its divisors is an integer number (39813480).

Almost surely, 2^3975252960 is an apocalyptic number.

3975252960 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 3975252960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7644188160).

3975252960 is an abundant number, since it is smaller than the sum of its proper divisors (11313123360).

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

3975252960 is a wasteful number, since it uses less digits than its factorization.

3975252960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 48.

The square root of 3975252960 is about 63049.6071359687. The cubic root of 3975252960 is about 1584.1206545172.

The spelling of 3975252960 in words is "three billion, nine hundred seventy-five million, two hundred fifty-two thousand, nine hundred sixty".