3357334656 has 576 divisors, whose sum is σ = 11882445120. Its totient is φ = 936105984.

The previous prime is 3357334649. The next prime is 3357334667. The reversal of 3357334656 is 6564337533.

3357334656 is a `hidden beast` number, since 33 + 573 + 3 + 46 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3357334656² = 22543391984757276672, which contains 22 as substring.

Its product of digits (2041200) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 145971061 + ... + 145971083.

It is an arithmetic number, because the mean of its divisors is an integer number (20629245).

Almost surely, 2^3357334656 is an apocalyptic number.

3357334656 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 3357334656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5941222560).

3357334656 is an abundant number, since it is smaller than the sum of its proper divisors (8525110464).

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

3357334656 is a wasteful number, since it uses less digits than its factorization.

3357334656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 60 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 45.

The square root of 3357334656 is about 57942.5116473216. The cubic root of 3357334656 is about 1497.3783325761.

The spelling of 3357334656 in words is "three billion, three hundred fifty-seven million, three hundred thirty-four thousand, six hundred fifty-six".