3816138240 has 240 divisors, whose sum is σ = 13995229248. Its totient is φ = 957677568.

The previous prime is 3816138197. The next prime is 3816138269. The reversal of 3816138240 is 428316183.

3816138240 is a `hidden beast` number, since 38 + 1 + 613 + 8 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3816138240² = 29125822133580595200, which contains 22 as substring.

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 = 3816138195 and 3816138204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386809 + ... + 396551.

Almost surely, 2^3816138240 is an apocalyptic number.

3816138240 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 3816138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6997614624).

3816138240 is an abundant number, since it is smaller than the sum of its proper divisors (10179091008).

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

3816138240 is a wasteful number, since it uses less digits than its factorization.

3816138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9789 (or 9770 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3816138240 is about 61774.8997571020. The cubic root of 3816138240 is about 1562.6967162674.

The spelling of 3816138240 in words is "three billion, eight hundred sixteen million, one hundred thirty-eight thousand, two hundred forty".