3640080052224 has 1040 divisors, whose sum is σ = 13927186918656. Its totient is φ = 919683072000.

The previous prime is 3640080052207. The next prime is 3640080052313. The reversal of 3640080052224 is 4222500800463.

3640080052224 is a `hidden beast` number, since 3 + 640 + 0 + 8 + 0 + 0 + 5 + 2 + 2 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 945227899 + ... + 945231749.

Almost surely, 2^{3640080052224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3640080052224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963593459328).

3640080052224 is an abundant number, since it is smaller than the sum of its proper divisors (10287106866432).

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

3640080052224 is a wasteful number, since it uses less digits than its factorization.

3640080052224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3942 (or 3911 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 3640080052224 its reverse (4222500800463), we get a palindrome (7862580852687).

The spelling of 3640080052224 in words is "three trillion, six hundred forty billion, eighty million, fifty-two thousand, two hundred twenty-four".