3385789440 has 352 divisors, whose sum is σ = 12238767360. Its totient is φ = 791347200.

The previous prime is 3385789409. The next prime is 3385789441. The reversal of 3385789440 is 449875833.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×3385789440² = 22927140264031027200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3385789441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4899495 + ... + 4900185.

Almost surely, 2^3385789440 is an apocalyptic number.

3385789440 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 3385789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6119383680).

3385789440 is an abundant number, since it is smaller than the sum of its proper divisors (8852977920).

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

3385789440 is a wasteful number, since it uses less digits than its factorization.

3385789440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The square root of 3385789440 is about 58187.5368098702. The cubic root of 3385789440 is about 1501.5967352435.

The spelling of 3385789440 in words is "three billion, three hundred eighty-five million, seven hundred eighty-nine thousand, four hundred forty".