3526327664640 has 1512 divisors, whose sum is σ = 14175977265324. Its totient is φ = 840853094400.

The previous prime is 3526327664627. The next prime is 3526327664707. The reversal of 3526327664640 is 464667236253.

3526327664640 is a `hidden beast` number, since 3 + 52 + 63 + 2 + 76 + 6 + 464 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3058077597696 + 468250066944 = 1748736^2 + 684288^2 .

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 83 ways as a sum of consecutive naturals, for example, 57808650210 + ... + 57808650270.

Almost surely, 2^{3526327664640} is an apocalyptic number.

3526327664640 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 3526327664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7087988632662).

3526327664640 is an abundant number, since it is smaller than the sum of its proper divisors (10649649600684).

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

3526327664640 is an frugal number, since it uses more digits than its factorization.

3526327664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 54.

The spelling of 3526327664640 in words is "three trillion, five hundred twenty-six billion, three hundred twenty-seven million, six hundred sixty-four thousand, six hundred forty".