3367612416 has 416 divisors, whose sum is σ = 11323238400. Its totient is φ = 886308864.

The previous prime is 3367612403. The next prime is 3367612427. The reversal of 3367612416 is 6142167633.

It is a super-2 number, since 2×3367612416² = 22681626768794714112, which contains 22 as substring.

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

Its product of digits (108864) is a multiple of the sum of its prime factors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71651305 + ... + 71651351.

Almost surely, 2^3367612416 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 3367612416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5661619200).

3367612416 is an abundant number, since it is smaller than the sum of its proper divisors (7955625984).

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

3367612416 is an equidigital number, since it uses as much as digits as its factorization.

3367612416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 76 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 3367612416 is about 58031.1331614333. The cubic root of 3367612416 is about 1498.9047435813.

The spelling of 3367612416 in words is "three billion, three hundred sixty-seven million, six hundred twelve thousand, four hundred sixteen".