349485120 has 84 divisors (see below), whose sum is σ = 1202093100. Its totient is φ = 93195264.

The previous prime is 349485109. The next prime is 349485131. The reversal of 349485120 is 21584943.

It is an interprime number because it is at equal distance from previous prime (349485109) and next prime (349485131).

It can be written as a sum of positive squares in 2 ways, for example, as 86266944 + 263218176 = 9288^2 + 16224^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57795 + ... + 63554.

Almost surely, 2^349485120 is an apocalyptic number.

349485120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349485120 is an abundant number, since it is smaller than the sum of its proper divisors (852607980).

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

349485120 is a wasteful number, since it uses less digits than its factorization.

349485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121372 (or 121359 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 349485120 is about 18694.5211225107. The cubic root of 349485120 is about 704.3841309292.

The spelling of 349485120 in words is "three hundred forty-nine million, four hundred eighty-five thousand, one hundred twenty".