3321985536 has 180 divisors, whose sum is σ = 10123704162. Its totient is φ = 1048522752.

The previous prime is 3321985531. The next prime is 3321985547. The reversal of 3321985536 is 6355891233.

It is a happy number.

3321985536 is a `hidden beast` number, since 3 + 3 + 2 + 1 + 98 + 553 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3301191936 + 20793600 = 57456^2 + 4560^2 .

It is a super-2 number, since 2×3321985536² = 22071175802786414592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3321985491 and 3321985500.

It is not an unprimeable number, because it can be changed into a prime (3321985531) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1662490 + ... + 1664486.

Almost surely, 2^3321985536 is an apocalyptic number.

3321985536 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 3321985536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5061852081).

3321985536 is an abundant number, since it is smaller than the sum of its proper divisors (6801718626).

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

3321985536 is a wasteful number, since it uses less digits than its factorization.

3321985536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2021 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 3321985536 is about 57636.6683284175. The cubic root of 3321985536 is about 1492.1045191725.

The spelling of 3321985536 in words is "three billion, three hundred twenty-one million, nine hundred eighty-five thousand, five hundred thirty-six".