3804401160 has 288 divisors, whose sum is σ = 15141297600. Its totient is φ = 823737600.

The previous prime is 3804401147. The next prime is 3804401173. The reversal of 3804401160 is 611044083.

It is an interprime number because it is at equal distance from previous prime (3804401147) and next prime (3804401173).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 329485 + ... + 340835.

It is an arithmetic number, because the mean of its divisors is an integer number (52573950).

Almost surely, 2^3804401160 is an apocalyptic number.

3804401160 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 3804401160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7570648800).

3804401160 is an abundant number, since it is smaller than the sum of its proper divisors (11336896440).

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

3804401160 is a wasteful number, since it uses less digits than its factorization.

3804401160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11401 (or 11387 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3804401160 is about 61679.8278207714. The cubic root of 3804401160 is about 1561.0929717327.

The spelling of 3804401160 in words is "three billion, eight hundred four million, four hundred one thousand, one hundred sixty".