349616201088 has 1024 divisors, whose sum is σ = 1253180160000. Its totient is φ = 85475819520.

The previous prime is 349616201087. The next prime is 349616201111. The reversal of 349616201088 is 880102616943.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349616201083) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2226854706 + ... + 2226854862.

It is an arithmetic number, because the mean of its divisors is an integer number (1223808750).

Almost surely, 2^349616201088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349616201088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626590080000).

349616201088 is an abundant number, since it is smaller than the sum of its proper divisors (903563958912).

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

349616201088 is a wasteful number, since it uses less digits than its factorization.

349616201088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 349616201088 in words is "three hundred forty-nine billion, six hundred sixteen million, two hundred one thousand, eighty-eight".