349129440 has 480 divisors, whose sum is σ = 1405071360. Its totient is φ = 80870400.

The previous prime is 349129439. The next prime is 349129441. The reversal of 349129440 is 44921943.

It is an interprime number because it is at equal distance from previous prime (349129439) and next prime (349129441).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 349129395 and 349129404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349129441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4419321 + ... + 4419399.

It is an arithmetic number, because the mean of its divisors is an integer number (2927232).

Almost surely, 2^349129440 is an apocalyptic number.

349129440 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 349129440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702535680).

349129440 is an abundant number, since it is smaller than the sum of its proper divisors (1055941920).

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

349129440 is a wasteful number, since it uses less digits than its factorization.

349129440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 349129440 is about 18685.0057532771. The cubic root of 349129440 is about 704.1450932005.

The spelling of 349129440 in words is "three hundred forty-nine million, one hundred twenty-nine thousand, four hundred forty".