349220391660 has 480 divisors, whose sum is σ = 1332476006400. Its totient is φ = 74740672512.

The previous prime is 349220391623. The next prime is 349220391697. The reversal of 349220391660 is 66193022943.

349220391660 is a `hidden beast` number, since 34 + 9 + 220 + 391 + 6 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (349220391623) and next prime (349220391697).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 38358669 + ... + 38367771.

It is an arithmetic number, because the mean of its divisors is an integer number (2775991680).

Almost surely, 2^349220391660 is an apocalyptic number.

349220391660 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 349220391660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666238003200).

349220391660 is an abundant number, since it is smaller than the sum of its proper divisors (983255614740).

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

349220391660 is a wasteful number, since it uses less digits than its factorization.

349220391660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9347 (or 9336 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 349220391660 in words is "three hundred forty-nine billion, two hundred twenty million, three hundred ninety-one thousand, six hundred sixty".