3707383680 has 768 divisors, whose sum is σ = 17215511040. Its totient is φ = 710000640.

The previous prime is 3707383679. The next prime is 3707383711. The reversal of 3707383680 is 863837073.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 5765439 + ... + 5766081.

It is an arithmetic number, because the mean of its divisors is an integer number (22416030).

Almost surely, 2^3707383680 is an apocalyptic number.

3707383680 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 3707383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8607755520).

3707383680 is an abundant number, since it is smaller than the sum of its proper divisors (13508127360).

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

3707383680 is a wasteful number, since it uses less digits than its factorization.

3707383680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3707383680 is about 60888.2885290759. The cubic root of 3707383680 is about 1547.7085363560.

The spelling of 3707383680 in words is "three billion, seven hundred seven million, three hundred eighty-three thousand, six hundred eighty".