3382957440 has 256 divisors, whose sum is σ = 12077208000. Its totient is φ = 894910464.

The previous prime is 3382957439. The next prime is 3382957451. The reversal of 3382957440 is 447592833.

3382957440 is a `hidden beast` number, since 3 + 38 + 2 + 9 + 574 + 40 = 666.

It is a super-2 number, since 2×3382957440² = 22888802081702707200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2366646 + ... + 2368074.

Almost surely, 2^3382957440 is an apocalyptic number.

3382957440 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 3382957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6038604000).

3382957440 is an abundant number, since it is smaller than the sum of its proper divisors (8694250560).

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

3382957440 is a wasteful number, since it uses less digits than its factorization.

3382957440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3382957440 is about 58163.1966109154. The cubic root of 3382957440 is about 1501.1779547063.

The spelling of 3382957440 in words is "three billion, three hundred eighty-two million, nine hundred fifty-seven thousand, four hundred forty".