3523264233840 has 480 divisors, whose sum is σ = 13263971408640. Its totient is φ = 859150236672.

The previous prime is 3523264233817. The next prime is 3523264233941. The reversal of 3523264233840 is 483324623253.

3523264233840 is a `hidden beast` number, since 3 + 5 + 2 + 3 + 264 + 2 + 3 + 384 + 0 = 666.

It is a super-2 number, since 2×3523264233840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39014179 + ... + 39104381.

It is an arithmetic number, because the mean of its divisors is an integer number (27633273768).

Almost surely, 2^{3523264233840} is an apocalyptic number.

3523264233840 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 3523264233840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6631985704320).

3523264233840 is an abundant number, since it is smaller than the sum of its proper divisors (9740707174800).

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

3523264233840 is a wasteful number, since it uses less digits than its factorization.

3523264233840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90358 (or 90333 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 3523264233840 in words is "three trillion, five hundred twenty-three billion, two hundred sixty-four million, two hundred thirty-three thousand, eight hundred forty".