3873361920 has 208 divisors, whose sum is σ = 12936799872. Its totient is φ = 987627520.

The previous prime is 3873361901. The next prime is 3873361927. The reversal of 3873361920 is 291633783.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3873361927) 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, 1411750 + ... + 1414490.

Almost surely, 2^3873361920 is an apocalyptic number.

3873361920 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 3873361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6468399936).

3873361920 is an abundant number, since it is smaller than the sum of its proper divisors (9063437952).

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

3873361920 is a wasteful number, since it uses less digits than its factorization.

3873361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 3873361920 is about 62236.3392239614. The cubic root of 3873361920 is about 1570.4689688585.

The spelling of 3873361920 in words is "three billion, eight hundred seventy-three million, three hundred sixty-one thousand, nine hundred twenty".