3138362010 has 192 divisors, whose sum is σ = 10240618752. Its totient is φ = 675081216.

The previous prime is 3138361997. The next prime is 3138362011. The reversal of 3138362010 is 102638313.

It is a happy number.

3138362010 is a `hidden beast` number, since 3 + 1 + 38 + 3 + 620 + 1 + 0 = 666.

It is a super-2 number, since 2×3138362010² = 19698632211622480200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3138362011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 283744 + ... + 294596.

It is an arithmetic number, because the mean of its divisors is an integer number (53336556).

Almost surely, 2^3138362010 is an apocalyptic number.

3138362010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3138362010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120309376).

3138362010 is an abundant number, since it is smaller than the sum of its proper divisors (7102256742).

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

3138362010 is a wasteful number, since it uses less digits than its factorization.

3138362010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10899 (or 10887 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3138362010 is about 56021.0854054078. The cubic root of 3138362010 is about 1464.0896797389.

The spelling of 3138362010 in words is "three billion, one hundred thirty-eight million, three hundred sixty-two thousand, ten".