3672360000 has 315 divisors, whose sum is σ = 13285007593. Its totient is φ = 969600000.

The previous prime is 3672359989. The next prime is 3672360007. The reversal of 3672360000 is 632763.

The square root of 3672360000 is 60600.

It is a perfect power (a square), and thus also a powerful number.

3672360000 is a `hidden beast` number, since 36 + 7 + 23 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 792535104 + 2879824896 = 28152^2 + 53664^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3672360007) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 36359950 + ... + 36360050.

Almost surely, 2^3672360000 is an apocalyptic number.

3672360000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3672360000 is the 60600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3672360000

3672360000 is an abundant number, since it is smaller than the sum of its proper divisors (9612647593).

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

3672360000 is an equidigital number, since it uses as much as digits as its factorization.

3672360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The cubic root of 3672360000 is about 1542.8193700335.

Adding to 3672360000 its reverse (632763), we get a palindrome (3672992763).

The spelling of 3672360000 in words is "three billion, six hundred seventy-two million, three hundred sixty thousand".