3834558144 has 280 divisors, whose sum is σ = 11896270848. Its totient is φ = 1219898880.

The previous prime is 3834558139. The next prime is 3834558173. The reversal of 3834558144 is 4418554383.

3834558144 is a `hidden beast` number, since 3 + 83 + 4 + 558 + 14 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3834558144.

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, 17195217 + ... + 17195439.

Almost surely, 2^3834558144 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 3834558144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5948135424).

3834558144 is an abundant number, since it is smaller than the sum of its proper divisors (8061712704).

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

3834558144 is a wasteful number, since it uses less digits than its factorization.

3834558144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 366 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 3834558144 is about 61923.8091851591. The cubic root of 3834558144 is about 1565.2069794670.

The spelling of 3834558144 in words is "three billion, eight hundred thirty-four million, five hundred fifty-eight thousand, one hundred forty-four".