3659743680 has 224 divisors, whose sum is σ = 12490557696. Its totient is φ = 904544256.

The previous prime is 3659743679. The next prime is 3659743687. The reversal of 3659743680 is 863479563.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3659743687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1091767 + ... + 1095113.

Almost surely, 2^3659743680 is an apocalyptic number.

3659743680 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 3659743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6245278848).

3659743680 is an abundant number, since it is smaller than the sum of its proper divisors (8830814016).

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

3659743680 is a wasteful number, since it uses less digits than its factorization.

3659743680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3451 (or 3441 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The square root of 3659743680 is about 60495.8153924716. The cubic root of 3659743680 is about 1541.0505677995.

The spelling of 3659743680 in words is "three billion, six hundred fifty-nine million, seven hundred forty-three thousand, six hundred eighty".