3363585840 has 60 divisors (see below), whose sum is σ = 11296044864. Its totient is φ = 896956032.

The previous prime is 3363585821. The next prime is 3363585913. The reversal of 3363585840 is 485853633.

3363585840 is a `hidden beast` number, since 3 + 3 + 63 + 5 + 8 + 584 + 0 = 666.

3363585840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×3363585840² = 22627419406097011200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2335104 + ... + 2336543.

Almost surely, 2^3363585840 is an apocalyptic number.

3363585840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3363585840 is an abundant number, since it is smaller than the sum of its proper divisors (7932459024).

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

3363585840 is a wasteful number, since it uses less digits than its factorization.

3363585840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4671666 (or 4671657 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 3363585840 is about 57996.4295452746. The cubic root of 3363585840 is about 1498.3071034530.

The spelling of 3363585840 in words is "three billion, three hundred sixty-three million, five hundred eighty-five thousand, eight hundred forty".