3386901960 has 288 divisors, whose sum is σ = 12024417600. Its totient is φ = 826375680.

The previous prime is 3386901953. The next prime is 3386901979. The reversal of 3386901960 is 691096833.

It is a super-2 number, since 2×3386901960² = 22942209773303683200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10890205 + ... + 10890515.

It is an arithmetic number, because the mean of its divisors is an integer number (41751450).

Almost surely, 2^3386901960 is an apocalyptic number.

3386901960 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 3386901960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6012208800).

3386901960 is an abundant number, since it is smaller than the sum of its proper divisors (8637515640).

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

3386901960 is a wasteful number, since it uses less digits than its factorization.

3386901960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 3386901960 is about 58197.0958038286. The cubic root of 3386901960 is about 1501.7611846764.

The spelling of 3386901960 in words is "three billion, three hundred eighty-six million, nine hundred one thousand, nine hundred sixty".