3640503360 has 336 divisors, whose sum is σ = 13186013760. Its totient is φ = 848240640.

The previous prime is 3640503331. The next prime is 3640503401. The reversal of 3640503360 is 633050463.

3640503360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3081970 + ... + 3083150.

Almost surely, 2^3640503360 is an apocalyptic number.

3640503360 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 3640503360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6593006880).

3640503360 is an abundant number, since it is smaller than the sum of its proper divisors (9545510400).

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

3640503360 is a wasteful number, since it uses less digits than its factorization.

3640503360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

The square root of 3640503360 is about 60336.5839271664. The cubic root of 3640503360 is about 1538.3452400498.

The spelling of 3640503360 in words is "three billion, six hundred forty million, five hundred three thousand, three hundred sixty".