3676743680 has 96 divisors (see below), whose sum is σ = 9341415720. Its totient is φ = 1384120320.

The previous prime is 3676743677. The next prime is 3676743689. The reversal of 3676743680 is 863476763.

It can be written as a sum of positive squares in 4 ways, for example, as 3538822144 + 137921536 = 59488^2 + 11744^2 .

It is not an unprimeable number, because it can be changed into a prime (3676743689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163520 + ... + 184640.

Almost surely, 2^3676743680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3676743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4670707860).

3676743680 is an abundant number, since it is smaller than the sum of its proper divisors (5664672040).

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

3676743680 is a wasteful number, since it uses less digits than its factorization.

3676743680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21165 (or 21145 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 50.

The square root of 3676743680 is about 60636.1581896479. The cubic root of 3676743680 is about 1543.4330114994.

The spelling of 3676743680 in words is "three billion, six hundred seventy-six million, seven hundred forty-three thousand, six hundred eighty".