3382294344 has 288 divisors, whose sum is σ = 10475710560. Its totient is φ = 901555200.

The previous prime is 3382294343. The next prime is 3382294393. The reversal of 3382294344 is 4434922833.

3382294344 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 2×3382294344² = 22879830058908780672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3382294296 and 3382294305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3382294343) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78657987 + ... + 78658029.

It is an arithmetic number, because the mean of its divisors is an integer number (36373995).

Almost surely, 2^3382294344 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 3382294344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5237855280).

3382294344 is an abundant number, since it is smaller than the sum of its proper divisors (7093416216).

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

3382294344 is a wasteful number, since it uses less digits than its factorization.

3382294344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 113 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The square root of 3382294344 is about 58157.4960258779. The cubic root of 3382294344 is about 1501.0798659620.

The spelling of 3382294344 in words is "three billion, three hundred eighty-two million, two hundred ninety-four thousand, three hundred forty-four".