3224535149088 has 768 divisors, whose sum is σ = 10738553978880. Its totient is φ = 932746752000.

The previous prime is 3224535149027. The next prime is 3224535149093. The reversal of 3224535149088 is 8809415354223.

3224535149088 is a `hidden beast` number, since 3 + 2 + 2 + 4 + 535 + 14 + 90 + 8 + 8 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 4599907138 + ... + 4599907838.

It is an arithmetic number, because the mean of its divisors is an integer number (13982492160).

Almost surely, 2^{3224535149088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3224535149088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369276989440).

3224535149088 is an abundant number, since it is smaller than the sum of its proper divisors (7514018829792).

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

3224535149088 is a wasteful number, since it uses less digits than its factorization.

3224535149088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 3224535149088 in words is "three trillion, two hundred twenty-four billion, five hundred thirty-five million, one hundred forty-nine thousand, eighty-eight".