3138424704 has 384 divisors, whose sum is σ = 10104756480. Its totient is φ = 967127040.

The previous prime is 3138424699. The next prime is 3138424759. The reversal of 3138424704 is 4074248313.

3138424704 is a `hidden beast` number, since 31 + 384 + 247 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29331019 + ... + 29331125.

It is an arithmetic number, because the mean of its divisors is an integer number (26314470).

Almost surely, 2^3138424704 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 3138424704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5052378240).

3138424704 is an abundant number, since it is smaller than the sum of its proper divisors (6966331776).

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

3138424704 is a wasteful number, since it uses less digits than its factorization.

3138424704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3138424704 is about 56021.6449597832. The cubic root of 3138424704 is about 1464.0994288826.

The spelling of 3138424704 in words is "three billion, one hundred thirty-eight million, four hundred twenty-four thousand, seven hundred four".