3386788140 has 48 divisors (see below), whose sum is σ = 9486505728. Its totient is φ = 902810304.

The previous prime is 3386788129. The next prime is 3386788147. The reversal of 3386788140 is 418876833.

3386788140 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3386788140² = 22940667810489319200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3386788140.

It is not an unprimeable number, because it can be changed into a prime (3386788147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183369 + ... + 200991.

It is an arithmetic number, because the mean of its divisors is an integer number (197635536).

Almost surely, 2^3386788140 is an apocalyptic number.

3386788140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3386788140 is an abundant number, since it is smaller than the sum of its proper divisors (6099717588).

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

3386788140 is a wasteful number, since it uses less digits than its factorization.

3386788140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20838 (or 20836 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 3386788140 is about 58196.1179117645. The cubic root of 3386788140 is about 1501.7443617927.

The spelling of 3386788140 in words is "three billion, three hundred eighty-six million, seven hundred eighty-eight thousand, one hundred forty".