3355583616 has 576 divisors, whose sum is σ = 12838862400. Its totient is φ = 821145600.

The previous prime is 3355583603. The next prime is 3355583617. The reversal of 3355583616 is 6163855533.

It is a happy number.

3355583616 is a `hidden beast` number, since 3 + 3 + 5 + 5 + 583 + 61 + 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 2×3355583616² = 22519882807935270912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3355583617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18539046 + ... + 18539226.

Almost surely, 2^3355583616 is an apocalyptic number.

3355583616 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 3355583616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6419431200).

3355583616 is an abundant number, since it is smaller than the sum of its proper divisors (9483278784).

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

3355583616 is a wasteful number, since it uses less digits than its factorization.

3355583616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 223 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The square root of 3355583616 is about 57927.3995273394. The cubic root of 3355583616 is about 1497.1179647952.

The spelling of 3355583616 in words is "three billion, three hundred fifty-five million, five hundred eighty-three thousand, six hundred sixteen".