3804531120 has 400 divisors, whose sum is σ = 14985395040. Its totient is φ = 886837248.

The previous prime is 3804531113. The next prime is 3804531127. The reversal of 3804531120 is 211354083.

It is a happy number.

3804531120 is a `hidden beast` number, since 3 + 8 + 0 + 4 + 531 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (3804531113) and next prime (3804531127).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3804531127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1599372 + ... + 1601748.

Almost surely, 2^3804531120 is an apocalyptic number.

3804531120 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 3804531120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7492697520).

3804531120 is an abundant number, since it is smaller than the sum of its proper divisors (11180863920).

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

3804531120 is a wasteful number, since it uses less digits than its factorization.

3804531120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3804531120 is about 61680.8813166608. The cubic root of 3804531120 is about 1561.1107474022.

The spelling of 3804531120 in words is "three billion, eight hundred four million, five hundred thirty-one thousand, one hundred twenty".