3287222497152 has 960 divisors, whose sum is σ = 11262017733120. Its totient is φ = 942948864000.

The previous prime is 3287222497127. The next prime is 3287222497193. The reversal of 3287222497152 is 2517942227823.

3287222497152 is a `hidden beast` number, since 3 + 2 + 87 + 2 + 22 + 497 + 1 + 52 = 666.

It is a super-2 number, since 2×3287222497152² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9931185627 + ... + 9931185957.

It is an arithmetic number, because the mean of its divisors is an integer number (11731268472).

Almost surely, 2^{3287222497152} is an apocalyptic number.

3287222497152 is a gapful number since it is divisible by the number (32) 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 3287222497152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5631008866560).

3287222497152 is an abundant number, since it is smaller than the sum of its proper divisors (7974795235968).

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

3287222497152 is a wasteful number, since it uses less digits than its factorization.

3287222497152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 431 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 3287222497152 in words is "three trillion, two hundred eighty-seven billion, two hundred twenty-two million, four hundred ninety-seven thousand, one hundred fifty-two".