349470720000 has 760 divisors, whose sum is σ = 1310298070400. Its totient is φ = 92012544000.

The previous prime is 349470719987. The next prime is 349470720019. The reversal of 349470720000 is 27074943.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4423679961 + ... + 4423680039.

Almost surely, 2^349470720000 is an apocalyptic number.

349470720000 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 349470720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655149035200).

349470720000 is an abundant number, since it is smaller than the sum of its proper divisors (960827350400).

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

349470720000 is an frugal number, since it uses more digits than its factorization.

349470720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

Adding to 349470720000 its reverse (27074943), we get a palindrome (349497794943).

The spelling of 349470720000 in words is "three hundred forty-nine billion, four hundred seventy million, seven hundred twenty thousand".