3365584992 has 648 divisors, whose sum is σ = 12864714408. Its totient is φ = 862202880.

The previous prime is 3365584987. The next prime is 3365585023. The reversal of 3365584992 is 2994855633.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×3365584992² = 22654324676751280128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (6998400) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 46103868 + ... + 46103940.

Almost surely, 2^3365584992 is an apocalyptic number.

3365584992 is a gapful number since it is divisible by the number (32) 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 3365584992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6432357204).

3365584992 is an abundant number, since it is smaller than the sum of its proper divisors (9499129416).

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

3365584992 is a wasteful number, since it uses less digits than its factorization.

3365584992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 96 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The square root of 3365584992 is about 58013.6621150570. The cubic root of 3365584992 is about 1498.6038849784.

The spelling of 3365584992 in words is "three billion, three hundred sixty-five million, five hundred eighty-four thousand, nine hundred ninety-two".