3288404723220 has 72 divisors (see below), whose sum is σ = 9979744898760. Its totient is φ = 876475641600.

The previous prime is 3288404723207. The next prime is 3288404723267. The reversal of 3288404723220 is 223274048823.

3288404723220 is a `hidden beast` number, since 3 + 2 + 8 + 8 + 404 + 7 + 232 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1949357685636 + 1339047037584 = 1396194^2 + 1157172^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4136731 + ... + 4867170.

Almost surely, 2^{3288404723220} is an apocalyptic number.

3288404723220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3288404723220 is an abundant number, since it is smaller than the sum of its proper divisors (6691340175540).

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

3288404723220 is a wasteful number, since it uses less digits than its factorization.

3288404723220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9005945 (or 9005940 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 3288404723220 in words is "three trillion, two hundred eighty-eight billion, four hundred four million, seven hundred twenty-three thousand, two hundred twenty".