3540795664 has 60 divisors (see below), whose sum is σ = 7991511948. Its totient is φ = 1515360000.

The previous prime is 3540795659. The next prime is 3540795677. The reversal of 3540795664 is 4665970453.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2484025600 + 1056770064 = 49840^2 + 32508^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 640914 + ... + 646414.

Almost surely, 2^3540795664 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 3540795664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995755974).

3540795664 is an abundant number, since it is smaller than the sum of its proper divisors (4450716284).

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

3540795664 is a wasteful number, since it uses less digits than its factorization.

3540795664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6344 (or 6331 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 49.

The square root of 3540795664 is about 59504.5852350892. The cubic root of 3540795664 is about 1524.1707452850.

The spelling of 3540795664 in words is "three billion, five hundred forty million, seven hundred ninety-five thousand, six hundred sixty-four".