3872186640 has 320 divisors, whose sum is σ = 15461867520. Its totient is φ = 872363520.

The previous prime is 3872186629. The next prime is 3872186651. The reversal of 3872186640 is 466812783.

It is an interprime number because it is at equal distance from previous prime (3872186629) and next prime (3872186651).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1071717 + ... + 1075323.

It is an arithmetic number, because the mean of its divisors is an integer number (48318336).

Almost surely, 2^3872186640 is an apocalyptic number.

3872186640 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 3872186640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7730933760).

3872186640 is an abundant number, since it is smaller than the sum of its proper divisors (11589680880).

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

3872186640 is a wasteful number, since it uses less digits than its factorization.

3872186640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3872186640 is about 62226.8964355447. The cubic root of 3872186640 is about 1570.3101122441.

The spelling of 3872186640 in words is "three billion, eight hundred seventy-two million, one hundred eighty-six thousand, six hundred forty".