3356004456 has 96 divisors (see below), whose sum is σ = 10440144000. Its totient is φ = 954011520.

The previous prime is 3356004367. The next prime is 3356004469. The reversal of 3356004456 is 6544006533.

3356004456 is a `hidden beast` number, since 3 + 3 + 5 + 600 + 4 + 45 + 6 = 666.

It is a super-2 number, since 2×3356004456² = 22525531817383711872, which contains 22 as substring.

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 3356004456.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83566 + ... + 117026.

It is an arithmetic number, because the mean of its divisors is an integer number (108751500).

Almost surely, 2^3356004456 is an apocalyptic number.

3356004456 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 3356004456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5220072000).

3356004456 is an abundant number, since it is smaller than the sum of its proper divisors (7084139544).

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

3356004456 is a wasteful number, since it uses less digits than its factorization.

3356004456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33679 (or 33672 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 3356004456 is about 57931.0318913793. The cubic root of 3356004456 is about 1497.1805491182.

The spelling of 3356004456 in words is "three billion, three hundred fifty-six million, four thousand, four hundred fifty-six".