349719866496 has 1280 divisors, whose sum is σ = 1443788881920. Its totient is φ = 81069465600.

The previous prime is 349719866437. The next prime is 349719866521. The reversal of 349719866496 is 694668917943.

349719866496 is a `hidden beast` number, since 3 + 4 + 9 + 71 + 9 + 8 + 66 + 496 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 321728865 + ... + 321729951.

It is an arithmetic number, because the mean of its divisors is an integer number (1127960064).

Almost surely, 2^349719866496 is an apocalyptic number.

349719866496 is a gapful number since it is divisible by the number (36) 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 349719866496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721894440960).

349719866496 is an abundant number, since it is smaller than the sum of its proper divisors (1094069015424).

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

349719866496 is a wasteful number, since it uses less digits than its factorization.

349719866496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1154 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 72.

The spelling of 349719866496 in words is "three hundred forty-nine billion, seven hundred nineteen million, eight hundred sixty-six thousand, four hundred ninety-six".