3640082525352 has 768 divisors, whose sum is σ = 13389646233600. Its totient is φ = 865898035200.

The previous prime is 3640082525327. The next prime is 3640082525389. The reversal of 3640082525352 is 2535252800463.

3640082525352 is a `hidden beast` number, since 3 + 6 + 40 + 0 + 8 + 252 + 5 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3640082525298 and 3640082525307.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 638496102 + ... + 638501802.

It is an arithmetic number, because the mean of its divisors is an integer number (17434435200).

Almost surely, 2^{3640082525352} 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 3640082525352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6694823116800).

3640082525352 is an abundant number, since it is smaller than the sum of its proper divisors (9749563708248).

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

3640082525352 is a wasteful number, since it uses less digits than its factorization.

3640082525352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5998 (or 5991 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 3640082525352 in words is "three trillion, six hundred forty billion, eighty-two million, five hundred twenty-five thousand, three hundred fifty-two".