349833725280 has 1152 divisors, whose sum is σ = 1398022778880. Its totient is φ = 82024980480.

The previous prime is 349833725243. The next prime is 349833725407. The reversal of 349833725280 is 82527338943.

349833725280 is a `hidden beast` number, since 3 + 4 + 9 + 8 + 337 + 25 + 280 = 666.

It is a super-2 number, since 2×349833725280² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1300496986 + ... + 1300497254.

It is an arithmetic number, because the mean of its divisors is an integer number (1213561440).

Almost surely, 2^349833725280 is an apocalyptic number.

349833725280 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 349833725280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699011389440).

349833725280 is an abundant number, since it is smaller than the sum of its proper divisors (1048189053600).

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

349833725280 is a wasteful number, since it uses less digits than its factorization.

349833725280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 349833725280 in words is "three hundred forty-nine billion, eight hundred thirty-three million, seven hundred twenty-five thousand, two hundred eighty".