349038720 has 160 divisors (see below), whose sum is σ = 1246665420. Its totient is φ = 93063168.

The previous prime is 349038671. The next prime is 349038727. The reversal of 349038720 is 27830943.

It can be written as a sum of positive squares in 2 ways, for example, as 321413184 + 27625536 = 17928^2 + 5256^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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

It is not an unprimeable number, because it can be changed into a prime (349038727) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48474 + ... + 55206.

Almost surely, 2^349038720 is an apocalyptic number.

349038720 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 349038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623332710).

349038720 is an abundant number, since it is smaller than the sum of its proper divisors (897626700).

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

349038720 is an equidigital number, since it uses as much as digits as its factorization.

349038720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6764 (or 6743 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 349038720 is about 18682.5779805679. The cubic root of 349038720 is about 704.0840980802.

The spelling of 349038720 in words is "three hundred forty-nine million, thirty-eight thousand, seven hundred twenty".