3872631360 has 224 divisors, whose sum is σ = 13461138432. Its totient is φ = 937451520.

The previous prime is 3872631353. The next prime is 3872631361. The reversal of 3872631360 is 631362783.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3872631361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 758737 + ... + 763823.

It is an arithmetic number, because the mean of its divisors is an integer number (60094368).

Almost surely, 2^3872631360 is an apocalyptic number.

3872631360 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 3872631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6730569216).

3872631360 is an abundant number, since it is smaller than the sum of its proper divisors (9588507072).

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

3872631360 is a wasteful number, since it uses less digits than its factorization.

3872631360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5181 (or 5171 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 3872631360 is about 62230.4697073708. The cubic root of 3872631360 is about 1570.3702265623.

The spelling of 3872631360 in words is "three billion, eight hundred seventy-two million, six hundred thirty-one thousand, three hundred sixty".