3138612288 has 168 divisors, whose sum is σ = 9729216000. Its totient is φ = 890330112.

The previous prime is 3138612263. The next prime is 3138612289. The reversal of 3138612288 is 8822168313.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (3138612289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1400673 + ... + 1402911.

It is an arithmetic number, because the mean of its divisors is an integer number (57912000).

Almost surely, 2^3138612288 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 3138612288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864608000).

3138612288 is an abundant number, since it is smaller than the sum of its proper divisors (6590603712).

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

3138612288 is a wasteful number, since it uses less digits than its factorization.

3138612288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417 (or 2400 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 3138612288 is about 56023.3191447990. The cubic root of 3138612288 is about 1464.1285980977.

The spelling of 3138612288 in words is "three billion, one hundred thirty-eight million, six hundred twelve thousand, two hundred eighty-eight".