3599905680 has 400 divisors, whose sum is σ = 15044810880. Its totient is φ = 779341824.

The previous prime is 3599905679. The next prime is 3599905711. The reversal of 3599905680 is 865099953.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 859752 + ... + 863928.

Almost surely, 2^3599905680 is an apocalyptic number.

3599905680 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 3599905680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7522405440).

3599905680 is an abundant number, since it is smaller than the sum of its proper divisors (11444905200).

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

3599905680 is a wasteful number, since it uses less digits than its factorization.

3599905680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4228 (or 4213 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The square root of 3599905680 is about 59999.2139948516. The cubic root of 3599905680 is about 1532.6054797988.

The spelling of 3599905680 in words is "three billion, five hundred ninety-nine million, nine hundred five thousand, six hundred eighty".