3381768920 has 64 divisors (see below), whose sum is σ = 8066822400. Its totient is φ = 1273674240.

The previous prime is 3381768917. The next prime is 3381768937. The reversal of 3381768920 is 298671833.

It is a super-2 number, since 2×3381768920² = 22872722056555932800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

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, 9026 + ... + 82734.

It is an arithmetic number, because the mean of its divisors is an integer number (126044100).

Almost surely, 2^3381768920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3381768920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033411200).

3381768920 is an abundant number, since it is smaller than the sum of its proper divisors (4685053480).

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

3381768920 is a wasteful number, since it uses less digits than its factorization.

3381768920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73788 (or 73784 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 3381768920 is about 58152.9785995524. The cubic root of 3381768920 is about 1501.0021332998.

The spelling of 3381768920 in words is "three billion, three hundred eighty-one million, seven hundred sixty-eight thousand, nine hundred twenty".