3840100506 has 48 divisors (see below), whose sum is σ = 9089327520. Its totient is φ = 1162035360.

The previous prime is 3840100501. The next prime is 3840100543. The reversal of 3840100506 is 6050010483.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3840100506.

It is not an unprimeable number, because it can be changed into a prime (3840100501) 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, 131905 + ... + 158363.

It is an arithmetic number, because the mean of its divisors is an integer number (189360990).

Almost surely, 2^3840100506 is an apocalyptic number.

3840100506 is an abundant number, since it is smaller than the sum of its proper divisors (5249227014).

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

3840100506 is a wasteful number, since it uses less digits than its factorization.

3840100506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27211 (or 27208 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3840100506 is about 61968.5444883128. The cubic root of 3840100506 is about 1565.9607184208.

Adding to 3840100506 its reverse (6050010483), we get a palindrome (9890110989).

It can be divided in two parts, 3840100 and 506, that added together give a triangular number (3840606 = T₂₇₇₁).

The spelling of 3840100506 in words is "three billion, eight hundred forty million, one hundred thousand, five hundred six".