3814782336 has 192 divisors, whose sum is σ = 11227507200. Its totient is φ = 1243008000.

The previous prime is 3814782331. The next prime is 3814782379. The reversal of 3814782336 is 6332874183.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 3814782291 and 3814782300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3814782331) 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, 15198211 + ... + 15198461.

It is an arithmetic number, because the mean of its divisors is an integer number (58476600).

Almost surely, 2^3814782336 is an apocalyptic number.

3814782336 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 3814782336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613753600).

3814782336 is an abundant number, since it is smaller than the sum of its proper divisors (7412724864).

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

3814782336 is a wasteful number, since it uses less digits than its factorization.

3814782336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 502 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 3814782336 is about 61763.9242276590. The cubic root of 3814782336 is about 1562.5116148555.

The spelling of 3814782336 in words is "three billion, eight hundred fourteen million, seven hundred eighty-two thousand, three hundred thirty-six".