3138484320 has 240 divisors, whose sum is σ = 11558907360. Its totient is φ = 800464896.

The previous prime is 3138484319. The next prime is 3138484331. The reversal of 3138484320 is 234848313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 292816 + ... + 303344.

It is an arithmetic number, because the mean of its divisors is an integer number (48162114).

Almost surely, 2^3138484320 is an apocalyptic number.

3138484320 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 3138484320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5779453680).

3138484320 is an abundant number, since it is smaller than the sum of its proper divisors (8420423040).

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

3138484320 is a wasteful number, since it uses less digits than its factorization.

3138484320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10579 (or 10562 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3138484320 is about 56022.1770373126. The cubic root of 3138484320 is about 1464.1086992658.

The spelling of 3138484320 in words is "three billion, one hundred thirty-eight million, four hundred eighty-four thousand, three hundred twenty".