349639132372992 has 2184 divisors, whose sum is σ = 1339944576823800. Its totient is φ = 90205860003840.

The previous prime is 349639132372921. The next prime is 349639132372997. The reversal of 349639132372992 is 299273231936943.

349639132372992 is a `hidden beast` number, since 3 + 4 + 9 + 6 + 3 + 9 + 1 + 323 + 7 + 299 + 2 = 666.

It is a super-2 number, since 2×349639132372992² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 349639132372992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349639132372997) by changing a digit.

It is a polite number, since it can be written in 155 ways as a sum of consecutive naturals, for example, 2346571358134 + ... + 2346571358282.

Almost surely, 2^{349639132372992} is an apocalyptic number.

349639132372992 is a gapful number since it is divisible by the number (32) 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 349639132372992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669972288411900).

349639132372992 is an abundant number, since it is smaller than the sum of its proper divisors (990305444450808).

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

349639132372992 is an frugal number, since it uses more digits than its factorization.

349639132372992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 172 counting only the distinct ones).

The product of its digits is 714256704, while the sum is 72.

The spelling of 349639132372992 in words is "three hundred forty-nine trillion, six hundred thirty-nine billion, one hundred thirty-two million, three hundred seventy-two thousand, nine hundred ninety-two".