3513422352384 has 832 divisors, whose sum is σ = 12355917742080. Its totient is φ = 965760122880.

The previous prime is 3513422352383. The next prime is 3513422352457. The reversal of 3513422352384 is 4832532243153.

3513422352384 is a `hidden beast` number, since 3 + 5 + 1 + 3 + 42 + 2 + 3 + 523 + 84 = 666.

It is not an unprimeable number, because it can be changed into a prime (3513422352383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2219470057 + ... + 2219471639.

Almost surely, 2^{3513422352384} 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 3513422352384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177958871040).

3513422352384 is an abundant number, since it is smaller than the sum of its proper divisors (8842495389696).

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

3513422352384 is a wasteful number, since it uses less digits than its factorization.

3513422352384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1703 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The spelling of 3513422352384 in words is "three trillion, five hundred thirteen billion, four hundred twenty-two million, three hundred fifty-two thousand, three hundred eighty-four".