3861921960 has 192 divisors, whose sum is σ = 14312123280. Its totient is φ = 894689280.

The previous prime is 3861921941. The next prime is 3861921961. The reversal of 3861921960 is 691291683.

It is a happy number.

3861921960 is a `hidden beast` number, since 3 + 8 + 619 + 21 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 417875364 + 3444046596 = 20442^2 + 58686^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3861921961) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 55290 + ... + 103830.

Almost surely, 2^3861921960 is an apocalyptic number.

3861921960 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 3861921960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7156061640).

3861921960 is an abundant number, since it is smaller than the sum of its proper divisors (10450201320).

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

3861921960 is a wasteful number, since it uses less digits than its factorization.

3861921960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48588 (or 48581 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 3861921960 is about 62144.3638635074. The cubic root of 3861921960 is about 1568.9213194486.

The spelling of 3861921960 in words is "three billion, eight hundred sixty-one million, nine hundred twenty-one thousand, nine hundred sixty".