3138930720 has 288 divisors, whose sum is σ = 11519988480. Its totient is φ = 775802880.

The previous prime is 3138930719. The next prime is 3138930737. The reversal of 3138930720 is 270398313.

It is a happy number.

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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1284700 + ... + 1287140.

It is an arithmetic number, because the mean of its divisors is an integer number (39999960).

Almost surely, 2^3138930720 is an apocalyptic number.

3138930720 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 3138930720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5759994240).

3138930720 is an abundant number, since it is smaller than the sum of its proper divisors (8381057760).

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

3138930720 is a wasteful number, since it uses less digits than its factorization.

3138930720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3138930720 is about 56026.1610321464. The cubic root of 3138930720 is about 1464.1781114483.

The spelling of 3138930720 in words is "three billion, one hundred thirty-eight million, nine hundred thirty thousand, seven hundred twenty".