3680640000 has 550 divisors, whose sum is σ = 13927935384. Its totient is φ = 967680000.

The previous prime is 3680639999. The next prime is 3680640001. The reversal of 3680640000 is 460863.

It is an interprime number because it is at equal distance from previous prime (3680639999) and next prime (3680640001).

It is a super-2 number, since 2×3680640000² = 27094221619200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680640001) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 51839965 + ... + 51840035.

Almost surely, 2^3680640000 is an apocalyptic number.

3680640000 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 3680640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963967692).

3680640000 is an abundant number, since it is smaller than the sum of its proper divisors (10247295384).

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

3680640000 is an frugal number, since it uses more digits than its factorization.

3680640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3680640000 is about 60668.2783668698. The cubic root of 3680640000 is about 1543.9780214685.

The spelling of 3680640000 in words is "three billion, six hundred eighty million, six hundred forty thousand".