349048022400 has 1728 divisors, whose sum is σ = 1607326812000. Its totient is φ = 70557696000.

The previous prime is 349048022381. The next prime is 349048022413. The reversal of 349048022400 is 4220840943.

349048022400 is a `hidden beast` number, since 34 + 90 + 480 + 22 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1000137426 + ... + 1000137774.

Almost surely, 2^349048022400 is an apocalyptic number.

349048022400 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 349048022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803663406000).

349048022400 is an abundant number, since it is smaller than the sum of its proper divisors (1258278789600).

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

349048022400 is a wasteful number, since it uses less digits than its factorization.

349048022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 349048022400 in words is "three hundred forty-nine billion, forty-eight million, twenty-two thousand, four hundred".