3367406016 has 168 divisors, whose sum is σ = 10479332864. Its totient is φ = 1027676160.

The previous prime is 3367405991. The next prime is 3367406023. The reversal of 3367406016 is 6106047633.

It is a happy number.

3367406016 is a `hidden beast` number, since 3 + 3 + 6 + 7 + 40 + 601 + 6 = 666.

It is a super-2 number, since 2×3367406016² = 22678846553185984512, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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, 949206 + ... + 952746.

Almost surely, 2^3367406016 is an apocalyptic number.

3367406016 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 3367406016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5239666432).

3367406016 is an abundant number, since it is smaller than the sum of its proper divisors (7111926848).

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

3367406016 is a wasteful number, since it uses less digits than its factorization.

3367406016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699 (or 3686 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3367406016 is about 58029.3547784223. The cubic root of 3367406016 is about 1498.8741204750.

The spelling of 3367406016 in words is "three billion, three hundred sixty-seven million, four hundred six thousand, sixteen".