349696018303632 has 6480 divisors, whose sum is σ = 1553477743935936. Its totient is φ = 74790613094400.

The previous prime is 349696018303627. The next prime is 349696018303633. The reversal of 349696018303632 is 236303810696943.

It is a happy number.

349696018303632 is a `hidden beast` number, since 3 + 4 + 9 + 6 + 96 + 0 + 183 + 0 + 363 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 349696018303632.

It is not an unprimeable number, because it can be changed into a prime (349696018303633) by changing a digit.

It is a polite number, since it can be written in 1295 ways as a sum of consecutive naturals, for example, 9451243737918 + ... + 9451243737954.

Almost surely, 2^{349696018303632} 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 349696018303632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776738871967968).

349696018303632 is an abundant number, since it is smaller than the sum of its proper divisors (1203781725632304).

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

349696018303632 is a wasteful number, since it uses less digits than its factorization.

349696018303632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 90699264, while the sum is 63.

The spelling of 349696018303632 in words is "three hundred forty-nine trillion, six hundred ninety-six billion, eighteen million, three hundred three thousand, six hundred thirty-two".