3804641280 has 576 divisors, whose sum is σ = 15025046400. Its totient is φ = 915701760.

The previous prime is 3804641279. The next prime is 3804641303. The reversal of 3804641280 is 821464083.

3804641280 is a `hidden beast` number, since 3 + 8 + 0 + 4 + 641 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27371451 + ... + 27371589.

It is an arithmetic number, because the mean of its divisors is an integer number (26085150).

Almost surely, 2^3804641280 is an apocalyptic number.

3804641280 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 3804641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7512523200).

3804641280 is an abundant number, since it is smaller than the sum of its proper divisors (11220405120).

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

3804641280 is a wasteful number, since it uses less digits than its factorization.

3804641280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3804641280 is about 61681.7742935464. The cubic root of 3804641280 is about 1561.1258145502.

The spelling of 3804641280 in words is "three billion, eight hundred four million, six hundred forty-one thousand, two hundred eighty".