3523642318944 has 480 divisors, whose sum is σ = 11850240124800. Its totient is φ = 1017486489600.

The previous prime is 3523642318813. The next prime is 3523642318969. The reversal of 3523642318944 is 4498132463253.

3523642318944 is a `hidden beast` number, since 3 + 5 + 2 + 36 + 423 + 189 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 50231607 + ... + 50301705.

It is an arithmetic number, because the mean of its divisors is an integer number (24688000260).

Almost surely, 2^{3523642318944} 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 3523642318944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5925120062400).

3523642318944 is an abundant number, since it is smaller than the sum of its proper divisors (8326597805856).

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

3523642318944 is a wasteful number, since it uses less digits than its factorization.

3523642318944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70216 (or 70199 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 3523642318944 in words is "three trillion, five hundred twenty-three billion, six hundred forty-two million, three hundred eighteen thousand, nine hundred forty-four".