3830344187904 has 288 divisors, whose sum is σ = 12222281060640. Its totient is φ = 1178553286656.

The previous prime is 3830344187897. The next prime is 3830344187921. The reversal of 3830344187904 is 4097814430383.

3830344187904 is a `hidden beast` number, since 3 + 8 + 30 + 3 + 441 + 87 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45964644 + ... + 46047900.

It is an arithmetic number, because the mean of its divisors is an integer number (42438475905).

Almost surely, 2^{3830344187904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3830344187904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6111140530320).

3830344187904 is an abundant number, since it is smaller than the sum of its proper divisors (8391936872736).

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

3830344187904 is an frugal number, since it uses more digits than its factorization.

3830344187904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83313 (or 83275 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 3830344187904 in words is "three trillion, eight hundred thirty billion, three hundred forty-four million, one hundred eighty-seven thousand, nine hundred four".