3682014336 has 768 divisors, whose sum is σ = 14827438080. Its totient is φ = 846028800.

The previous prime is 3682014331. The next prime is 3682014359. The reversal of 3682014336 is 6334102863.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3682014336.

It is not an unprimeable number, because it can be changed into a prime (3682014331) 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, 35747661 + ... + 35747763.

It is an arithmetic number, because the mean of its divisors is an integer number (19306560).

Almost surely, 2^3682014336 is an apocalyptic number.

3682014336 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 3682014336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7413719040).

3682014336 is an abundant number, since it is smaller than the sum of its proper divisors (11145423744).

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

3682014336 is a wasteful number, since it uses less digits than its factorization.

3682014336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3682014336 is about 60679.6039538822. The cubic root of 3682014336 is about 1544.1701692584.

The spelling of 3682014336 in words is "three billion, six hundred eighty-two million, fourteen thousand, three hundred thirty-six".