3811368960 has 504 divisors, whose sum is σ = 15441829416. Its totient is φ = 867041280.

The previous prime is 3811368949. The next prime is 3811369007. The reversal of 3811368960 is 698631183.

It is a happy number.

3811368960 is a `hidden beast` number, since 381 + 136 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18063255 + ... + 18063465.

Almost surely, 2^3811368960 is an apocalyptic number.

3811368960 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 3811368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7720914708).

3811368960 is an abundant number, since it is smaller than the sum of its proper divisors (11630460456).

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

3811368960 is a wasteful number, since it uses less digits than its factorization.

3811368960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 3811368960 is about 61736.2856025531. The cubic root of 3811368960 is about 1562.0454431134.

The spelling of 3811368960 in words is "three billion, eight hundred eleven million, three hundred sixty-eight thousand, nine hundred sixty".