3382951440 has 320 divisors, whose sum is σ = 11969233920. Its totient is φ = 783083520.

The previous prime is 3382951421. The next prime is 3382951441. The reversal of 3382951440 is 441592833.

It is a super-2 number, since 2×3382951440² = 22888720890796147200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3382951441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5762827 + ... + 5763413.

It is an arithmetic number, because the mean of its divisors is an integer number (37403856).

Almost surely, 2^3382951440 is an apocalyptic number.

3382951440 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 3382951440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984616960).

3382951440 is an abundant number, since it is smaller than the sum of its proper divisors (8586282480).

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

3382951440 is a wasteful number, since it uses less digits than its factorization.

3382951440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 3382951440 is about 58163.1450318842. The cubic root of 3382951440 is about 1501.1770672114.

The spelling of 3382951440 in words is "three billion, three hundred eighty-two million, nine hundred fifty-one thousand, four hundred forty".