349752598272 has 1728 divisors, whose sum is σ = 1421584012800. Its totient is φ = 84652646400.

The previous prime is 349752598271. The next prime is 349752598331. The reversal of 349752598272 is 272895257943.

349752598272 is a `hidden beast` number, since 3 + 49 + 75 + 259 + 8 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349752598271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5733649122 + ... + 5733649182.

Almost surely, 2^349752598272 is an apocalyptic number.

349752598272 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 349752598272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710792006400).

349752598272 is an abundant number, since it is smaller than the sum of its proper divisors (1071831414528).

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

349752598272 is an equidigital number, since it uses as much as digits as its factorization.

349752598272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 103 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 349752598272 in words is "three hundred forty-nine billion, seven hundred fifty-two million, five hundred ninety-eight thousand, two hundred seventy-two".