349628245797600 has 1728 divisors, whose sum is σ = 1656422282188800. Its totient is φ = 70306403328000.

The previous prime is 349628245797547. The next prime is 349628245797641. The reversal of 349628245797600 is 6797542826943.

349628245797600 is a `hidden beast` number, since 3 + 4 + 9 + 6 + 2 + 8 + 2 + 4 + 5 + 7 + 9 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 360430036 + ... + 361398764.

It is an arithmetic number, because the mean of its divisors is an integer number (958577709600).

Almost surely, 2^{349628245797600} is an apocalyptic number.

349628245797600 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 349628245797600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828211141094400).

349628245797600 is an abundant number, since it is smaller than the sum of its proper divisors (1306794036391200).

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

349628245797600 is a wasteful number, since it uses less digits than its factorization.

349628245797600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968814 (or 968788 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 349628245797600 in words is "three hundred forty-nine trillion, six hundred twenty-eight billion, two hundred forty-five million, seven hundred ninety-seven thousand, six hundred".