3385045440 has 756 divisors, whose sum is σ = 14560987896. Its totient is φ = 719437824.

The previous prime is 3385045343. The next prime is 3385045459. The reversal of 3385045440 is 445405833.

3385045440 is a `hidden beast` number, since 33 + 85 + 0 + 4 + 544 + 0 = 666.

It is a super-2 number, since 2×3385045440² = 22917065261729587200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 3385045395 and 3385045404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 40783639 + ... + 40783721.

It is an arithmetic number, because the mean of its divisors is an integer number (19260566).

Almost surely, 2^3385045440 is an apocalyptic number.

3385045440 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 3385045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7280493948).

3385045440 is an abundant number, since it is smaller than the sum of its proper divisors (11175942456).

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

3385045440 is a wasteful number, since it uses less digits than its factorization.

3385045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 3385045440 is about 58181.1433369954. The cubic root of 3385045440 is about 1501.4867392507.

The spelling of 3385045440 in words is "three billion, three hundred eighty-five million, forty-five thousand, four hundred forty".