349905190000 has 200 divisors, whose sum is σ = 875897810480. Its totient is φ = 135281664000.

The previous prime is 349905189971. The next prime is 349905190031. The reversal of 349905190000 is 91509943.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×349905190000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41705806 + ... + 41714194.

Almost surely, 2^349905190000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349905190000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437948905240).

349905190000 is an abundant number, since it is smaller than the sum of its proper divisors (525992620480).

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

349905190000 is an equidigital number, since it uses as much as digits as its factorization.

349905190000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8557 (or 8536 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 40.

Adding to 349905190000 its reverse (91509943), we get a palindrome (349996699943).

The spelling of 349905190000 in words is "three hundred forty-nine billion, nine hundred five million, one hundred ninety thousand".