3221533404936 has 288 divisors, whose sum is σ = 10965022548480. Its totient is φ = 836402434560.

The previous prime is 3221533404931. The next prime is 3221533404941. The reversal of 3221533404936 is 6394043351223.

It is a happy number.

3221533404936 is a `hidden beast` number, since 3 + 2 + 2 + 1 + 533 + 40 + 49 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (3221533404931) and next prime (3221533404941).

It is a junction number, because it is equal to n+sod(n) for n = 3221533404891 and 3221533404900.

It is not an unprimeable number, because it can be changed into a prime (3221533404931) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 160560841 + ... + 160580903.

It is an arithmetic number, because the mean of its divisors is an integer number (38072994960).

Almost surely, 2^{3221533404936} is an apocalyptic number.

3221533404936 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 3221533404936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5482511274240).

3221533404936 is an abundant number, since it is smaller than the sum of its proper divisors (7743489143544).

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

3221533404936 is a wasteful number, since it uses less digits than its factorization.

3221533404936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22737 (or 22719 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 3221533404936 in words is "three trillion, two hundred twenty-one billion, five hundred thirty-three million, four hundred four thousand, nine hundred thirty-six".