3683368416 has 576 divisors, whose sum is σ = 13127546880. Its totient is φ = 894136320.

The previous prime is 3683368397. The next prime is 3683368421. The reversal of 3683368416 is 6148633863.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54975615 + ... + 54975681.

It is an arithmetic number, because the mean of its divisors is an integer number (22790880).

Almost surely, 2^3683368416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3683368416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6563773440).

3683368416 is an abundant number, since it is smaller than the sum of its proper divisors (9444178464).

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

3683368416 is a wasteful number, since it uses less digits than its factorization.

3683368416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 152 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The square root of 3683368416 is about 60690.7605488677. The cubic root of 3683368416 is about 1544.3594382733.

The spelling of 3683368416 in words is "three billion, six hundred eighty-three million, three hundred sixty-eight thousand, four hundred sixteen".