3356067456 has 384 divisors, whose sum is σ = 11609395200. Its totient is φ = 910393344.

The previous prime is 3356067443. The next prime is 3356067467. The reversal of 3356067456 is 6547606533.

3356067456 is a `hidden beast` number, since 3 + 35 + 606 + 7 + 4 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3356067456² = 22526377538444623872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26425665 + ... + 26425791.

It is an arithmetic number, because the mean of its divisors is an integer number (30232800).

Almost surely, 2^3356067456 is an apocalyptic number.

3356067456 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 3356067456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5804697600).

3356067456 is an abundant number, since it is smaller than the sum of its proper divisors (8253327744).

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

3356067456 is a wasteful number, since it uses less digits than its factorization.

3356067456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The square root of 3356067456 is about 57931.5756388517. The cubic root of 3356067456 is about 1497.1899175786.

The spelling of 3356067456 in words is "three billion, three hundred fifty-six million, sixty-seven thousand, four hundred fifty-six".