3789124416 has 336 divisors, whose sum is σ = 13912778880. Its totient is φ = 957173760.

The previous prime is 3789124399. The next prime is 3789124433. The reversal of 3789124416 is 6144219873.

3789124416 is a `hidden beast` number, since 37 + 89 + 124 + 416 = 666.

It is an interprime number because it is at equal distance from previous prime (3789124399) and next prime (3789124433).

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1639870 + ... + 1642178.

It is an arithmetic number, because the mean of its divisors is an integer number (41407080).

Almost surely, 2^3789124416 is an apocalyptic number.

3789124416 is a gapful number since it is divisible by the number (36) 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 3789124416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6956389440).

3789124416 is an abundant number, since it is smaller than the sum of its proper divisors (10123654464).

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

3789124416 is a wasteful number, since it uses less digits than its factorization.

3789124416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382 (or 2369 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 3789124416 is about 61555.8641885564. The cubic root of 3789124416 is about 1559.0006222360. Note that the first 3 decimals are identical.

The spelling of 3789124416 in words is "three billion, seven hundred eighty-nine million, one hundred twenty-four thousand, four hundred sixteen".