349976851200 has 864 divisors, whose sum is σ = 1372540276800. Its totient is φ = 86951854080.

The previous prime is 349976851181. The next prime is 349976851313. The reversal of 349976851200 is 2158679943.

349976851200 is a `hidden beast` number, since 3 + 499 + 76 + 85 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 320197854 + ... + 320198946.

It is a 1-persistent number, because it is pandigital, but 2⋅349976851200 = 699953702400 is not.

Almost surely, 2^349976851200 is an apocalyptic number.

349976851200 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 349976851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686270138400).

349976851200 is an abundant number, since it is smaller than the sum of its proper divisors (1022563425600).

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

349976851200 is a wasteful number, since it uses less digits than its factorization.

349976851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 349976851200 in words is "three hundred forty-nine billion, nine hundred seventy-six million, eight hundred fifty-one thousand, two hundred".