349904181792 has 384 divisors, whose sum is σ = 1071935907840. Its totient is φ = 98827223040.

The previous prime is 349904181791. The next prime is 349904181839. The reversal of 349904181792 is 297181409943.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (349904181791) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 355954933 + ... + 355955915.

It is an arithmetic number, because the mean of its divisors is an integer number (2791499760).

Almost surely, 2^349904181792 is an apocalyptic number.

349904181792 is a gapful number since it is divisible by the number (32) 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 349904181792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535967953920).

349904181792 is an abundant number, since it is smaller than the sum of its proper divisors (722031726048).

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

349904181792 is a wasteful number, since it uses less digits than its factorization.

349904181792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 349904181792 in words is "three hundred forty-nine billion, nine hundred four million, one hundred eighty-one thousand, seven hundred ninety-two".