349332480 has 528 divisors, whose sum is σ = 1497421440. Its totient is φ = 75644928.

The previous prime is 349332433. The next prime is 349332493. The reversal of 349332480 is 84233943.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18385911 + ... + 18385929.

Almost surely, 2^349332480 is an apocalyptic number.

349332480 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 349332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748710720).

349332480 is an abundant number, since it is smaller than the sum of its proper divisors (1148088960).

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

349332480 is a wasteful number, since it uses less digits than its factorization.

349332480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 349332480 is about 18690.4381971103. The cubic root of 349332480 is about 704.2815678115.

The spelling of 349332480 in words is "three hundred forty-nine million, three hundred thirty-two thousand, four hundred eighty".