3672731160 has 448 divisors, whose sum is σ = 14920761600. Its totient is φ = 794458368.

The previous prime is 3672731143. The next prime is 3672731177. The reversal of 3672731160 is 611372763.

It is an interprime number because it is at equal distance from previous prime (3672731143) and next prime (3672731177).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3877807 + ... + 3878753.

Almost surely, 2^3672731160 is an apocalyptic number.

3672731160 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 3672731160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7460380800).

3672731160 is an abundant number, since it is smaller than the sum of its proper divisors (11248030440).

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

3672731160 is a wasteful number, since it uses less digits than its factorization.

3672731160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 3672731160 is about 60603.0622988641. The cubic root of 3672731160 is about 1542.8713451074.

The spelling of 3672731160 in words is "three billion, six hundred seventy-two million, seven hundred thirty-one thousand, one hundred sixty".