3604978596240 has 480 divisors, whose sum is σ = 14385065011200. Its totient is φ = 808445094912.

The previous prime is 3604978596221. The next prime is 3604978596253. The reversal of 3604978596240 is 426958794063.

3604978596240 is a `hidden beast` number, since 3 + 6 + 0 + 497 + 85 + 9 + 62 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 12951169 + ... + 13226591.

It is an arithmetic number, because the mean of its divisors is an integer number (29968885440).

Almost surely, 2^{3604978596240} is an apocalyptic number.

3604978596240 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 3604978596240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7192532505600).

3604978596240 is an abundant number, since it is smaller than the sum of its proper divisors (10780086414960).

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

3604978596240 is a wasteful number, since it uses less digits than its factorization.

3604978596240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275516 (or 275493 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 3604978596240 in words is "three trillion, six hundred four billion, nine hundred seventy-eight million, five hundred ninety-six thousand, two hundred forty".