3976248960 has 128 divisors (see below), whose sum is σ = 14082609600. Its totient is φ = 1060328448.

The previous prime is 3976248953. The next prime is 3976248967. The reversal of 3976248960 is 698426793.

It is a happy number.

3976248960 is a `hidden beast` number, since 3 + 9 + 7 + 624 + 8 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3976248953) and next prime (3976248967).

It is a tau number, because it is divible by the number of its divisors (128).

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 = 3976248897 and 3976248906.

It is not an unprimeable number, because it can be changed into a prime (3976248967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97774 + ... + 132333.

Almost surely, 2^3976248960 is an apocalyptic number.

3976248960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3976248960 is an abundant number, since it is smaller than the sum of its proper divisors (10106360640).

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

3976248960 is a wasteful number, since it uses less digits than its factorization.

3976248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230135 (or 230117 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 3976248960 is about 63057.5051837606. The cubic root of 3976248960 is about 1584.2529439954.

The spelling of 3976248960 in words is "three billion, nine hundred seventy-six million, two hundred forty-eight thousand, nine hundred sixty".