349824977280 has 768 divisors, whose sum is σ = 1333827855360. Its totient is φ = 87310172160.

The previous prime is 349824977269. The next prime is 349824977371. The reversal of 349824977280 is 82779428943.

349824977280 is a `hidden beast` number, since 3 + 49 + 8 + 249 + 77 + 280 = 666.

It is a super-4 number, since 4×349824977280⁴ (a number of 47 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 811658665 + ... + 811659095.

It is an arithmetic number, because the mean of its divisors is an integer number (1736755020).

Almost surely, 2^349824977280 is an apocalyptic number.

349824977280 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 349824977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666913927680).

349824977280 is an abundant number, since it is smaller than the sum of its proper divisors (984002878080).

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

349824977280 is a wasteful number, since it uses less digits than its factorization.

349824977280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

It can be divided in two parts, 349824 and 977280, that added together give a square (1327104 = 1152²).

The spelling of 349824977280 in words is "three hundred forty-nine billion, eight hundred twenty-four million, nine hundred seventy-seven thousand, two hundred eighty".