3657008640 has 160 divisors (see below), whose sum is σ = 11813931360. Its totient is φ = 964952064.

The previous prime is 3657008617. The next prime is 3657008647. The reversal of 3657008640 is 468007563.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3657008647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 742506 + ... + 747414.

It is an arithmetic number, because the mean of its divisors is an integer number (73837071).

Almost surely, 2^3657008640 is an apocalyptic number.

3657008640 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 3657008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5906965680).

3657008640 is an abundant number, since it is smaller than the sum of its proper divisors (8156922720).

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

3657008640 is an equidigital number, since it uses as much as digits as its factorization.

3657008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5032 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 3657008640 is about 60473.2059676019. The cubic root of 3657008640 is about 1540.6665804944. Note that the first 3 decimals are identical.

The spelling of 3657008640 in words is "three billion, six hundred fifty-seven million, eight thousand, six hundred forty".