3493557724384 has 480 divisors, whose sum is σ = 9445858281216. Its totient is φ = 1258618798080.

The previous prime is 3493557724379. The next prime is 3493557724457. The reversal of 3493557724384 is 4834277553943.

It is a super-2 number, since 2×3493557724384² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 526372714 + ... + 526379350.

Almost surely, 2^{3493557724384} is an apocalyptic number.

3493557724384 is a gapful number since it is divisible by the number (34) 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 3493557724384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4722929140608).

3493557724384 is an abundant number, since it is smaller than the sum of its proper divisors (5952300556832).

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

3493557724384 is a wasteful number, since it uses less digits than its factorization.

3493557724384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6736 (or 6707 counting only the distinct ones).

The product of its digits is 304819200, while the sum is 64.

The spelling of 3493557724384 in words is "three trillion, four hundred ninety-three billion, five hundred fifty-seven million, seven hundred twenty-four thousand, three hundred eighty-four".