3672727260 has 96 divisors (see below), whose sum is σ = 10900334592. Its totient is φ = 920785920.

The previous prime is 3672727249. The next prime is 3672727283. The reversal of 3672727260 is 627272763.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1540029 + ... + 1542411.

It is an arithmetic number, because the mean of its divisors is an integer number (113545152).

Almost surely, 2^3672727260 is an apocalyptic number.

3672727260 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 3672727260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5450167296).

3672727260 is an abundant number, since it is smaller than the sum of its proper divisors (7227607332).

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

3672727260 is a wasteful number, since it uses less digits than its factorization.

3672727260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3923 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 42.

The square root of 3672727260 is about 60603.0301222637. The cubic root of 3672727260 is about 1542.8707989924.

The spelling of 3672727260 in words is "three billion, six hundred seventy-two million, seven hundred twenty-seven thousand, two hundred sixty".