3516238322820 has 144 divisors (see below), whose sum is σ = 10923241754880. Its totient is φ = 915303648000.

The previous prime is 3516238322819. The next prime is 3516238322873. The reversal of 3516238322820 is 282238326153.

3516238322820 is a `hidden beast` number, since 3 + 5 + 16 + 238 + 322 + 82 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71280 + ... + 2652839.

It is an arithmetic number, because the mean of its divisors is an integer number (75855845520).

Almost surely, 2^{3516238322820} is an apocalyptic number.

3516238322820 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 3516238322820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5461620877440).

3516238322820 is an abundant number, since it is smaller than the sum of its proper divisors (7407003432060).

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

3516238322820 is a wasteful number, since it uses less digits than its factorization.

3516238322820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724306 (or 2724301 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3516238322820 in words is "three trillion, five hundred sixteen billion, two hundred thirty-eight million, three hundred twenty-two thousand, eight hundred twenty".