3382726240 has 96 divisors (see below), whose sum is σ = 8144388000. Its totient is φ = 1327484928.

The previous prime is 3382726213. The next prime is 3382726241. The reversal of 3382726240 is 426272833.

It is a super-2 number, since 2×3382726240² = 22885673629569075200, 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 3382726240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3382726241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1978506 + ... + 1980214.

It is an arithmetic number, because the mean of its divisors is an integer number (84837375).

Almost surely, 2^3382726240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3382726240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072194000).

3382726240 is an abundant number, since it is smaller than the sum of its proper divisors (4761661760).

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

3382726240 is a wasteful number, since it uses less digits than its factorization.

3382726240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The square root of 3382726240 is about 58161.2090658370. The cubic root of 3382726240 is about 1501.1437558083.

The spelling of 3382726240 in words is "three billion, three hundred eighty-two million, seven hundred twenty-six thousand, two hundred forty".