3493029120 has 288 divisors, whose sum is σ = 13192139520. Its totient is φ = 770703360.

The previous prime is 3493029109. The next prime is 3493029157. The reversal of 3493029120 is 219203943.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 777280 + ... + 781760.

It is an arithmetic number, because the mean of its divisors is an integer number (45806040).

Almost surely, 2^3493029120 is an apocalyptic number.

3493029120 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 3493029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6596069760).

3493029120 is an abundant number, since it is smaller than the sum of its proper divisors (9699110400).

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

3493029120 is a wasteful number, since it uses less digits than its factorization.

3493029120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4541 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 3493029120 is about 59101.8537780331. The cubic root of 3493029120 is about 1517.2858304142.

The spelling of 3493029120 in words is "three billion, four hundred ninety-three million, twenty-nine thousand, one hundred twenty".