3599245440 has 768 divisors, whose sum is σ = 15466464000. Its totient is φ = 752615424.

The previous prime is 3599245439. The next prime is 3599245471. The reversal of 3599245440 is 445429953.

3599245440 is a `hidden beast` number, since 3 + 599 + 2 + 4 + 54 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40440916 + ... + 40441004.

It is an arithmetic number, because the mean of its divisors is an integer number (20138625).

Almost surely, 2^3599245440 is an apocalyptic number.

3599245440 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 3599245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7733232000).

3599245440 is an abundant number, since it is smaller than the sum of its proper divisors (11867218560).

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

3599245440 is a wasteful number, since it uses less digits than its factorization.

3599245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 3599245440 is about 59993.7116704743. The cubic root of 3599245440 is about 1532.5117783336.

The spelling of 3599245440 in words is "three billion, five hundred ninety-nine million, two hundred forty-five thousand, four hundred forty".