3380259840 has 264 divisors, whose sum is σ = 11220343920. Its totient is φ = 868515840.

The previous prime is 3380259829. The next prime is 3380259851. The reversal of 3380259840 is 489520833.

It is an interprime number because it is at equal distance from previous prime (3380259829) and next prime (3380259851).

It is a super-2 number, since 2×3380259840² = 22852313171833651200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3380259792 and 3380259801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14760846 + ... + 14761074.

Almost surely, 2^3380259840 is an apocalyptic number.

3380259840 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 3380259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5610171960).

3380259840 is an abundant number, since it is smaller than the sum of its proper divisors (7840084080).

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

3380259840 is a wasteful number, since it uses less digits than its factorization.

3380259840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 3380259840 is about 58140.0020639835. The cubic root of 3380259840 is about 1500.7788311003.

The spelling of 3380259840 in words is "three billion, three hundred eighty million, two hundred fifty-nine thousand, eight hundred forty".