3493235611320 has 768 divisors, whose sum is σ = 13715969863680. Its totient is φ = 704625868800.

The previous prime is 3493235611297. The next prime is 3493235611357. The reversal of 3493235611320 is 231165323943.

It is a super-2 number, since 2×3493235611320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 196671240 + ... + 196689000.

It is an arithmetic number, because the mean of its divisors is an integer number (17859335760).

Almost surely, 2^{3493235611320} is an apocalyptic number.

3493235611320 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 3493235611320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6857984931840).

3493235611320 is an abundant number, since it is smaller than the sum of its proper divisors (10222734252360).

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

3493235611320 is a wasteful number, since it uses less digits than its factorization.

3493235611320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17916 (or 17905 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 42.

The spelling of 3493235611320 in words is "three trillion, four hundred ninety-three billion, two hundred thirty-five million, six hundred eleven thousand, three hundred twenty".