3241390576788 has 768 divisors, whose sum is σ = 11007233556480. Its totient is φ = 801848678400.

The previous prime is 3241390576667. The next prime is 3241390576799. The reversal of 3241390576788 is 8876750931423.

3241390576788 is a `hidden beast` number, since 3 + 2 + 413 + 90 + 57 + 6 + 7 + 88 = 666.

It is a super-2 number, since 2×3241390576788² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4745813095 + ... + 4745813777.

It is an arithmetic number, because the mean of its divisors is an integer number (14332335360).

It is a 1-persistent number, because it is pandigital, but 2⋅3241390576788 = 6482781153576 is not.

Almost surely, 2^{3241390576788} 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 3241390576788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503616778240).

3241390576788 is an abundant number, since it is smaller than the sum of its proper divisors (7765842979692).

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

3241390576788 is a wasteful number, since it uses less digits than its factorization.

3241390576788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 3241390576788 in words is "three trillion, two hundred forty-one billion, three hundred ninety million, five hundred seventy-six thousand, seven hundred eighty-eight".