3916257960 has 96 divisors (see below), whose sum is σ = 12399812640. Its totient is φ = 989359488.

The previous prime is 3916257959. The next prime is 3916257971. The reversal of 3916257960 is 697526193.

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 23 ways as a sum of consecutive naturals, for example, 1882 + ... + 88521.

It is an arithmetic number, because the mean of its divisors is an integer number (129164715).

Almost surely, 2^3916257960 is an apocalyptic number.

3916257960 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 3916257960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6199906320).

3916257960 is an abundant number, since it is smaller than the sum of its proper divisors (8483554680).

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

3916257960 is a wasteful number, since it uses less digits than its factorization.

3916257960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90455 (or 90432 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 48.

The square root of 3916257960 is about 62580.0124640448. The cubic root of 3916257960 is about 1576.2451509097.

The spelling of 3916257960 in words is "three billion, nine hundred sixteen million, two hundred fifty-seven thousand, nine hundred sixty".