3413231791200 has 1296 divisors, whose sum is σ = 15334384036608. Its totient is φ = 699164928000.

The previous prime is 3413231791187. The next prime is 3413231791201. The reversal of 3413231791200 is 21971323143.

3413231791200 is a `hidden beast` number, since 3 + 4 + 132 + 317 + 9 + 1 + 200 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413231791201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 432982459 + ... + 432990341.

It is an arithmetic number, because the mean of its divisors is an integer number (11832086448).

Almost surely, 2^{3413231791200} is an apocalyptic number.

3413231791200 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 3413231791200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7667192018304).

3413231791200 is an abundant number, since it is smaller than the sum of its proper divisors (11921152245408).

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

3413231791200 is a wasteful number, since it uses less digits than its factorization.

3413231791200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8009 (or 7982 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 3413231791200 in words is "three trillion, four hundred thirteen billion, two hundred thirty-one million, seven hundred ninety-one thousand, two hundred".