3893809920 has 576 divisors, whose sum is σ = 16713575424. Its totient is φ = 746127360.

The previous prime is 3893809867. The next prime is 3893809957. The reversal of 3893809920 is 299083983.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3843334 + ... + 3844346.

It is an arithmetic number, because the mean of its divisors is an integer number (29016624).

Almost surely, 2^3893809920 is an apocalyptic number.

3893809920 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 3893809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8356787712).

3893809920 is an abundant number, since it is smaller than the sum of its proper divisors (12819765504).

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

3893809920 is a wasteful number, since it uses less digits than its factorization.

3893809920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The square root of 3893809920 is about 62400.3999987180. The cubic root of 3893809920 is about 1573.2276924824.

The spelling of 3893809920 in words is "three billion, eight hundred ninety-three million, eight hundred nine thousand, nine hundred twenty".