349588475820 has 288 divisors, whose sum is σ = 1095049912320. Its totient is φ = 90236090880.

The previous prime is 349588475729. The next prime is 349588475833. The reversal of 349588475820 is 28574885943.

349588475820 is a `hidden beast` number, since 3 + 4 + 9 + 5 + 8 + 8 + 47 + 582 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 405084709 + ... + 405085571.

It is an arithmetic number, because the mean of its divisors is an integer number (3802256640).

Almost surely, 2^349588475820 is an apocalyptic number.

349588475820 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 349588475820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547524956160).

349588475820 is an abundant number, since it is smaller than the sum of its proper divisors (745461436500).

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

349588475820 is a wasteful number, since it uses less digits than its factorization.

349588475820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 349588475820 in words is "three hundred forty-nine billion, five hundred eighty-eight million, four hundred seventy-five thousand, eight hundred twenty".