3918237960 has 288 divisors, whose sum is σ = 14810351040. Its totient is φ = 826495488.

The previous prime is 3918237923. The next prime is 3918237977. The reversal of 3918237960 is 697328193.

It is a super-2 number, since 2×3918237960² = 30705177422369923200, which contains 22 as substring.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 991749 + ... + 995691.

It is an arithmetic number, because the mean of its divisors is an integer number (51424830).

Almost surely, 2^3918237960 is an apocalyptic number.

3918237960 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 3918237960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405175520).

3918237960 is an abundant number, since it is smaller than the sum of its proper divisors (10892113080).

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

3918237960 is a wasteful number, since it uses less digits than its factorization.

3918237960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3997 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 3918237960 is about 62595.8302125629. The cubic root of 3918237960 is about 1576.5107479505.

The spelling of 3918237960 in words is "three billion, nine hundred eighteen million, two hundred thirty-seven thousand, nine hundred sixty".