3680192640 has 256 divisors, whose sum is σ = 12526513920. Its totient is φ = 915800064.

The previous prime is 3680192611. The next prime is 3680192689. The reversal of 3680192640 is 462910863.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4471269 + ... + 4472091.

It is an arithmetic number, because the mean of its divisors is an integer number (48931695).

Almost surely, 2^3680192640 is an apocalyptic number.

3680192640 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 3680192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6263256960).

3680192640 is an abundant number, since it is smaller than the sum of its proper divisors (8846321280).

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

3680192640 is a wasteful number, since it uses less digits than its factorization.

3680192640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 3680192640 is about 60664.5913198136. The cubic root of 3680192640 is about 1543.9154651383.

The spelling of 3680192640 in words is "three billion, six hundred eighty million, one hundred ninety-two thousand, six hundred forty".