3313909440 has 336 divisors, whose sum is σ = 11843930592. Its totient is φ = 849788928.

The previous prime is 3313909411. The next prime is 3313909457. The reversal of 3313909440 is 449093133.

It is a super-2 number, since 2×3313909440² = 21963991553042227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3313909395 and 3313909404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14598607 + ... + 14598833.

Almost surely, 2^3313909440 is an apocalyptic number.

3313909440 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 3313909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5921965296).

3313909440 is an abundant number, since it is smaller than the sum of its proper divisors (8530021152).

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

3313909440 is a wasteful number, since it uses less digits than its factorization.

3313909440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3313909440 is about 57566.5652961856. The cubic root of 3313909440 is about 1490.8943836813.

The spelling of 3313909440 in words is "three billion, three hundred thirteen million, nine hundred nine thousand, four hundred forty".