3804813440640 has 768 divisors, whose sum is σ = 14131689062400. Its totient is φ = 977208053760.

The previous prime is 3804813440587. The next prime is 3804813440657. The reversal of 3804813440640 is 460443184083.

3804813440640 is a `hidden beast` number, since 3 + 80 + 481 + 34 + 4 + 0 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1075107991 + ... + 1075111529.

It is an arithmetic number, because the mean of its divisors is an integer number (18400636800).

Almost surely, 2^{3804813440640} is an apocalyptic number.

3804813440640 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 3804813440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7065844531200).

3804813440640 is an abundant number, since it is smaller than the sum of its proper divisors (10326875621760).

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

3804813440640 is a wasteful number, since it uses less digits than its factorization.

3804813440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3827 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 3804813440640 in words is "three trillion, eight hundred four billion, eight hundred thirteen million, four hundred forty thousand, six hundred forty".