3800217920 has 112 divisors (see below), whose sum is σ = 9192572928. Its totient is φ = 1496217600.

The previous prime is 3800217919. The next prime is 3800217931. The reversal of 3800217920 is 297120083.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 9922049 + ... + 9922431.

It is an arithmetic number, because the mean of its divisors is an integer number (82076544).

Almost surely, 2^3800217920 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 3800217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596286464).

3800217920 is an abundant number, since it is smaller than the sum of its proper divisors (5392355008).

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

3800217920 is a wasteful number, since it uses less digits than its factorization.

3800217920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 3800217920 is about 61645.9075689538. The cubic root of 3800217920 is about 1560.5205801503.

The spelling of 3800217920 in words is "three billion, eight hundred million, two hundred seventeen thousand, nine hundred twenty".