3273137472 has 112 divisors (see below), whose sum is σ = 9522634752. Its totient is φ = 983969280.

The previous prime is 3273137459. The next prime is 3273137477. The reversal of 3273137472 is 2747313723.

It is a super-2 number, since 2×3273137472² = 21426857821221101568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3273137472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3273137477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262123 + ... + 274325.

Almost surely, 2^3273137472 is an apocalyptic number.

3273137472 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 3273137472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4761317376).

3273137472 is an abundant number, since it is smaller than the sum of its proper divisors (6249497280).

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

3273137472 is a wasteful number, since it uses less digits than its factorization.

3273137472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12356 (or 12346 counting only the distinct ones).

The product of its digits is 148176, while the sum is 39.

The square root of 3273137472 is about 57211.3404142920. The cubic root of 3273137472 is about 1484.7548366942.

The spelling of 3273137472 in words is "three billion, two hundred seventy-three million, one hundred thirty-seven thousand, four hundred seventy-two".