3138664140 has 120 divisors (see below), whose sum is σ = 9912949200. Its totient is φ = 831295872.

The previous prime is 3138664129. The next prime is 3138664147. The reversal of 3138664140 is 414668313.

It is a happy number.

3138664140 is a `hidden beast` number, since 3 + 1 + 3 + 8 + 6 + 641 + 4 + 0 = 666.

3138664140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3138664095 and 3138664104.

It is not an unprimeable number, because it can be changed into a prime (3138664147) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 234879 + ... + 247881.

It is an arithmetic number, because the mean of its divisors is an integer number (82607910).

Almost surely, 2^3138664140 is an apocalyptic number.

3138664140 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 3138664140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4956474600).

3138664140 is an abundant number, since it is smaller than the sum of its proper divisors (6774285060).

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

3138664140 is a wasteful number, since it uses less digits than its factorization.

3138664140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13173 (or 13162 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3138664140 is about 56023.7819144691. The cubic root of 3138664140 is about 1464.1366608519.

The spelling of 3138664140 in words is "three billion, one hundred thirty-eight million, six hundred sixty-four thousand, one hundred forty".