3899041920 has 448 divisors, whose sum is σ = 14308113240. Its totient is φ = 1015234560.

The previous prime is 3899041901. The next prime is 3899041921. The reversal of 3899041920 is 291409983.

It can be written as a sum of positive squares in 4 ways, for example, as 2196984384 + 1702057536 = 46872^2 + 41256^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3899041921) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28460092 + ... + 28460228.

Almost surely, 2^3899041920 is an apocalyptic number.

3899041920 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 3899041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7154056620).

3899041920 is an abundant number, since it is smaller than the sum of its proper divisors (10409071320).

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

3899041920 is an equidigital number, since it uses as much as digits as its factorization.

3899041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 3899041920 is about 62442.3087337424. The cubic root of 3899041920 is about 1573.9320106663.

The spelling of 3899041920 in words is "three billion, eight hundred ninety-nine million, forty-one thousand, nine hundred twenty".