3201134246640 has 960 divisors, whose sum is σ = 12470231854080. Its totient is φ = 728856576000.

The previous prime is 3201134246621. The next prime is 3201134246641. The reversal of 3201134246640 is 466424311023.

3201134246640 is a `hidden beast` number, since 3 + 2 + 0 + 1 + 1 + 3 + 4 + 2 + 4 + 6 + 640 = 666.

3201134246640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3201134246640² (a number of 26 digits) contains 22 as substring.

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 = 3201134246595 and 3201134246604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201134246641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 991368546 + ... + 991371774.

It is an arithmetic number, because the mean of its divisors is an integer number (12989824848).

Almost surely, 2^{3201134246640} is an apocalyptic number.

3201134246640 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 3201134246640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6235115927040).

3201134246640 is an abundant number, since it is smaller than the sum of its proper divisors (9269097607440).

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

3201134246640 is a wasteful number, since it uses less digits than its factorization.

3201134246640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 3201134246640 its reverse (466424311023), we get a palindrome (3667558557663).

The spelling of 3201134246640 in words is "three trillion, two hundred one billion, one hundred thirty-four million, two hundred forty-six thousand, six hundred forty".