3867342336 has 240 divisors, whose sum is σ = 13114941840. Its totient is φ = 1081589760.

The previous prime is 3867342331. The next prime is 3867342341. The reversal of 3867342336 is 6332437683.

3867342336 is a `hidden beast` number, since 386 + 7 + 34 + 233 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3867342331) and next prime (3867342341).

It is a junction number, because it is equal to n+sod(n) for n = 3867342291 and 3867342300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3867342331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 656010 + ... + 661878.

It is an arithmetic number, because the mean of its divisors is an integer number (54645591).

Almost surely, 2^3867342336 is an apocalyptic number.

3867342336 is a gapful number since it is divisible by the number (36) 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 3867342336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6557470920).

3867342336 is an abundant number, since it is smaller than the sum of its proper divisors (9247599504).

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

3867342336 is a wasteful number, since it uses less digits than its factorization.

3867342336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5917 (or 5898 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 45.

The square root of 3867342336 is about 62187.9597349841. The cubic root of 3867342336 is about 1569.6549928205.

The spelling of 3867342336 in words is "three billion, eight hundred sixty-seven million, three hundred forty-two thousand, three hundred thirty-six".