3975965280 has 288 divisors, whose sum is σ = 15629822208. Its totient is φ = 901555200.

The previous prime is 3975965267. The next prime is 3975965291. The reversal of 3975965280 is 825695793.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 1318975 + ... + 1321985.

It is an arithmetic number, because the mean of its divisors is an integer number (54270216).

Almost surely, 2^3975965280 is an apocalyptic number.

3975965280 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 3975965280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7814911104).

3975965280 is an abundant number, since it is smaller than the sum of its proper divisors (11653856928).

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

3975965280 is a wasteful number, since it uses less digits than its factorization.

3975965280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170 (or 3159 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The square root of 3975965280 is about 63055.2557682546. The cubic root of 3975965280 is about 1584.2152676520.

The spelling of 3975965280 in words is "three billion, nine hundred seventy-five million, nine hundred sixty-five thousand, two hundred eighty".