3261396137472 has 1280 divisors, whose sum is σ = 12252587212800. Its totient is φ = 842604871680.

The previous prime is 3261396137471. The next prime is 3261396137477. The reversal of 3261396137472 is 2747316931623.

3261396137472 is a `hidden beast` number, since 3 + 2 + 6 + 1 + 39 + 6 + 137 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3261396137471) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1129682013 + ... + 1129684899.

It is an arithmetic number, because the mean of its divisors is an integer number (9572333760).

Almost surely, 2^{3261396137472} is an apocalyptic number.

3261396137472 is a gapful number since it is divisible by the number (32) 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 3261396137472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6126293606400).

3261396137472 is an abundant number, since it is smaller than the sum of its proper divisors (8991191075328).

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

3261396137472 is a wasteful number, since it uses less digits than its factorization.

3261396137472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2984 (or 2962 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 54.

The spelling of 3261396137472 in words is "three trillion, two hundred sixty-one billion, three hundred ninety-six million, one hundred thirty-seven thousand, four hundred seventy-two".