3363085440 has 512 divisors, whose sum is σ = 14003539200. Its totient is φ = 752025600.

The previous prime is 3363085433. The next prime is 3363085459. The reversal of 3363085440 is 445803633.

It is a super-2 number, since 2×3363085440² = 22620687353479987200, 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 = 3363085395 and 3363085404.

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, 2470360 + ... + 2471720.

Almost surely, 2^3363085440 is an apocalyptic number.

3363085440 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 3363085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7001769600).

3363085440 is an abundant number, since it is smaller than the sum of its proper divisors (10640453760).

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

3363085440 is a wasteful number, since it uses less digits than its factorization.

3363085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3363085440 is about 57992.1153261372. The cubic root of 3363085440 is about 1498.2327988176.

The spelling of 3363085440 in words is "three billion, three hundred sixty-three million, eighty-five thousand, four hundred forty".