3807360000 has 330 divisors, whose sum is σ = 13758472442. Its totient is φ = 1013760000.

The previous prime is 3807359987. The next prime is 3807360017. The reversal of 3807360000 is 637083.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 937829376 + 2869530624 = 30624^2 + 53568^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5759670 + ... + 5760330.

Almost surely, 2^3807360000 is an apocalyptic number.

3807360000 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 3807360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879236221).

3807360000 is an abundant number, since it is smaller than the sum of its proper divisors (9951112442).

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

3807360000 is an equidigital number, since it uses as much as digits as its factorization.

3807360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3807360000 is about 61703.8086344757. The cubic root of 3807360000 is about 1561.4975756973.

Adding to 3807360000 its reverse (637083), we get a palindrome (3807997083).

The spelling of 3807360000 in words is "three billion, eight hundred seven million, three hundred sixty thousand".