3386307840 has 144 divisors (see below), whose sum is σ = 10838825088. Its totient is φ = 901029888.

The previous prime is 3386307839. The next prime is 3386307857. The reversal of 3386307840 is 487036833.

It is a super-2 number, since 2×3386307840² = 22934161574490931200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3386307792 and 3386307801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2791074 + ... + 2792286.

Almost surely, 2^3386307840 is an apocalyptic number.

3386307840 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 3386307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5419412544).

3386307840 is an abundant number, since it is smaller than the sum of its proper divisors (7452517248).

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

3386307840 is a wasteful number, since it uses less digits than its factorization.

3386307840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 3386307840 is about 58191.9912015391. The cubic root of 3386307840 is about 1501.6733680875.

The spelling of 3386307840 in words is "three billion, three hundred eighty-six million, three hundred seven thousand, eight hundred forty".