3804330240 has 360 divisors, whose sum is σ = 13759128768. Its totient is φ = 1007769600.

The previous prime is 3804330223. The next prime is 3804330251. The reversal of 3804330240 is 420334083.

3804330240 is a `hidden beast` number, since 380 + 43 + 3 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25194165 + ... + 25194315.

Almost surely, 2^3804330240 is an apocalyptic number.

3804330240 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 3804330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879564384).

3804330240 is an abundant number, since it is smaller than the sum of its proper divisors (9954798528).

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

3804330240 is an frugal number, since it uses more digits than its factorization.

3804330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3804330240 is about 61679.2529137635. The cubic root of 3804330240 is about 1561.0832712659.

The spelling of 3804330240 in words is "three billion, eight hundred four million, three hundred thirty thousand, two hundred forty".