3800225520 has 480 divisors, whose sum is σ = 16222961664. Its totient is φ = 775526400.

The previous prime is 3800225503. The next prime is 3800225537. The reversal of 3800225520 is 255220083.

It is an interprime number because it is at equal distance from previous prime (3800225503) and next prime (3800225537).

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, 2030185 + ... + 2032055.

Almost surely, 2^3800225520 is an apocalyptic number.

3800225520 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 3800225520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8111480832).

3800225520 is an abundant number, since it is smaller than the sum of its proper divisors (12422736144).

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

3800225520 is a wasteful number, since it uses less digits than its factorization.

3800225520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 3800225520 is about 61645.9692112956. The cubic root of 3800225520 is about 1560.5216204370.

The spelling of 3800225520 in words is "three billion, eight hundred million, two hundred twenty-five thousand, five hundred twenty".