3798259920 has 480 divisors, whose sum is σ = 16248960000. Its totient is φ = 773369856.

The previous prime is 3798259919. The next prime is 3798259957. The reversal of 3798259920 is 299528973.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1899081 + ... + 1901079.

It is an arithmetic number, because the mean of its divisors is an integer number (33852000).

Almost surely, 2^3798259920 is an apocalyptic number.

3798259920 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 3798259920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124480000).

3798259920 is an abundant number, since it is smaller than the sum of its proper divisors (12450700080).

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

3798259920 is a wasteful number, since it uses less digits than its factorization.

3798259920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 3798259920 is about 61630.0245010498. The cubic root of 3798259920 is about 1560.2525232234.

The spelling of 3798259920 in words is "three billion, seven hundred ninety-eight million, two hundred fifty-nine thousand, nine hundred twenty".