349696532304 has 240 divisors, whose sum is σ = 1131739599744. Its totient is φ = 98732160000.

The previous prime is 349696532231. The next prime is 349696532309. The reversal of 349696532304 is 403235696943.

349696532304 is a `hidden beast` number, since 3 + 49 + 69 + 6 + 532 + 3 + 0 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349696532309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57314854 + ... + 57320954.

Almost surely, 2^349696532304 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 349696532304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565869799872).

349696532304 is an abundant number, since it is smaller than the sum of its proper divisors (782043067440).

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

349696532304 is a wasteful number, since it uses less digits than its factorization.

349696532304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6786 (or 6777 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 54.

The spelling of 349696532304 in words is "three hundred forty-nine billion, six hundred ninety-six million, five hundred thirty-two thousand, three hundred four".