349696051200 has 720 divisors, whose sum is σ = 1304277614640. Its totient is φ = 92983541760.

The previous prime is 349696051193. The next prime is 349696051207. The reversal of 349696051200 is 2150696943.

349696051200 is a `hidden beast` number, since 3 + 49 + 6 + 96 + 0 + 512 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (349696051193) and next prime (349696051207).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (349696051207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1007769427 + ... + 1007769773.

It is an arithmetic number, because the mean of its divisors is an integer number (1811496687).

Almost surely, 2^349696051200 is an apocalyptic number.

349696051200 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 349696051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652138807320).

349696051200 is an abundant number, since it is smaller than the sum of its proper divisors (954581563440).

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

349696051200 is an frugal number, since it uses more digits than its factorization.

349696051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 349696051200 in words is "three hundred forty-nine billion, six hundred ninety-six million, fifty-one thousand, two hundred".