3231760343040 has 896 divisors, whose sum is σ = 11916548582400. Its totient is φ = 840757542912.

The previous prime is 3231760343023. The next prime is 3231760343089. The reversal of 3231760343040 is 403430671323.

3231760343040 is a `hidden beast` number, since 3 + 2 + 3 + 1 + 7 + 603 + 4 + 3 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3231760342986 and 3231760343004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3851918941 + ... + 3851919779.

It is an arithmetic number, because the mean of its divisors is an integer number (13299719400).

Almost surely, 2^{3231760343040} is an apocalyptic number.

3231760343040 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 3231760343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5958274291200).

3231760343040 is an abundant number, since it is smaller than the sum of its proper divisors (8684788239360).

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

3231760343040 is an frugal number, since it uses more digits than its factorization.

3231760343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 3231760343040 in words is "three trillion, two hundred thirty-one billion, seven hundred sixty million, three hundred forty-three thousand, forty".