349379721600 has 2304 divisors, whose sum is σ = 1582598707200. Its totient is φ = 66886041600.

The previous prime is 349379721589. The next prime is 349379721611. The reversal of 349379721600 is 6127973943.

It is an interprime number because it is at equal distance from previous prime (349379721589) and next prime (349379721611).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 3601852752 + ... + 3601852848.

It is an arithmetic number, because the mean of its divisors is an integer number (686891800).

Almost surely, 2^349379721600 is an apocalyptic number.

349379721600 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 349379721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791299353600).

349379721600 is an abundant number, since it is smaller than the sum of its proper divisors (1233218985600).

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

349379721600 is a wasteful number, since it uses less digits than its factorization.

349379721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 51.

The spelling of 349379721600 in words is "three hundred forty-nine billion, three hundred seventy-nine million, seven hundred twenty-one thousand, six hundred".