3382189440 has 512 divisors, whose sum is σ = 13261501440. Its totient is φ = 715653120.

The previous prime is 3382189417. The next prime is 3382189453. The reversal of 3382189440 is 449812833.

It is a super-2 number, since 2×3382189440² = 22878410816095027200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3382189392 and 3382189401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25818175 + ... + 25818305.

It is an arithmetic number, because the mean of its divisors is an integer number (25901370).

Almost surely, 2^3382189440 is an apocalyptic number.

3382189440 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 3382189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6630750720).

3382189440 is an abundant number, since it is smaller than the sum of its proper divisors (9879312000).

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

3382189440 is a wasteful number, since it uses less digits than its factorization.

3382189440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 3382189440 is about 58156.5941231087. The cubic root of 3382189440 is about 1501.0643468208.

The spelling of 3382189440 in words is "three billion, three hundred eighty-two million, one hundred eighty-nine thousand, four hundred forty".