3532140890964 has 144 divisors (see below), whose sum is σ = 10760305046400. Its totient is φ = 954351030528.

The previous prime is 3532140890959. The next prime is 3532140890969. The reversal of 3532140890964 is 4690980412353.

3532140890964 is a `hidden beast` number, since 3 + 532 + 1 + 40 + 8 + 9 + 0 + 9 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (3532140890959) and next prime (3532140890969).

It is a self number, because there is not a number n which added to its sum of digits gives 3532140890964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3532140890969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2004702 + ... + 3329130.

It is an arithmetic number, because the mean of its divisors is an integer number (74724340600).

Almost surely, 2^{3532140890964} 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 3532140890964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5380152523200).

3532140890964 is an abundant number, since it is smaller than the sum of its proper divisors (7228164155436).

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

3532140890964 is a wasteful number, since it uses less digits than its factorization.

3532140890964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325022 (or 1325017 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 3532140890964 in words is "three trillion, five hundred thirty-two billion, one hundred forty million, eight hundred ninety thousand, nine hundred sixty-four".