349400520986202 has 160 divisors (see below), whose sum is σ = 923663519032320. Its totient is φ = 96604345647360.

The previous prime is 349400520986159. The next prime is 349400520986207. The reversal of 349400520986202 is 202689025004943.

349400520986202 is a `hidden beast` number, since 3 + 4 + 9 + 4 + 0 + 0 + 5 + 2 + 0 + 9 + 8 + 620 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (349400520986207) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 882061924 + ... + 882457952.

It is an arithmetic number, because the mean of its divisors is an integer number (5772896993952).

Almost surely, 2^{349400520986202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349400520986202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461831759516160).

349400520986202 is an abundant number, since it is smaller than the sum of its proper divisors (574262998046118).

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

349400520986202 is a wasteful number, since it uses less digits than its factorization.

349400520986202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421178 (or 421169 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 349400520986202 in words is "three hundred forty-nine trillion, four hundred billion, five hundred twenty million, nine hundred eighty-six thousand, two hundred two".