349910793450 has 576 divisors, whose sum is σ = 1096386969600. Its totient is φ = 79414732800.

The previous prime is 349910793413. The next prime is 349910793451. The reversal of 349910793450 is 54397019943.

It is a happy number.

349910793450 is a `hidden beast` number, since 3 + 4 + 99 + 10 + 7 + 93 + 450 = 666.

It is not an unprimeable number, because it can be changed into a prime (349910793451) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 355961659 + ... + 355962641.

It is an arithmetic number, because the mean of its divisors is an integer number (1903449600).

Almost surely, 2^349910793450 is an apocalyptic number.

349910793450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 349910793450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548193484800).

349910793450 is an abundant number, since it is smaller than the sum of its proper divisors (746476176150).

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

349910793450 is a wasteful number, since it uses less digits than its factorization.

349910793450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 349910793450 in words is "three hundred forty-nine billion, nine hundred ten million, seven hundred ninety-three thousand, four hundred fifty".