3218533920 has 192 divisors, whose sum is σ = 12874256640. Its totient is φ = 735657984.

The previous prime is 3218533909. The next prime is 3218533991. The reversal of 3218533920 is 293358123.

3218533920 is a `hidden beast` number, since 3 + 218 + 53 + 392 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22977 + ... + 83456.

It is an arithmetic number, because the mean of its divisors is an integer number (67053420).

Almost surely, 2^3218533920 is an apocalyptic number.

3218533920 is a gapful number since it is divisible by the number (30) 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 3218533920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6437128320).

3218533920 is an abundant number, since it is smaller than the sum of its proper divisors (9655722720).

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

3218533920 is a wasteful number, since it uses less digits than its factorization.

3218533920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106464 (or 106450 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3218533920 is about 56732.1242331009. The cubic root of 3218533920 is about 1476.4521055385.

It can be divided in two parts, 3218533 and 920, that added together give a triangular number (3219453 = T₂₅₃₇).

The spelling of 3218533920 in words is "three billion, two hundred eighteen million, five hundred thirty-three thousand, nine hundred twenty".