349781940 has 72 divisors (see below), whose sum is σ = 1062603360. Its totient is φ = 93134784.

The previous prime is 349781911. The next prime is 349781941. The reversal of 349781940 is 49187943.

349781940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349781941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182467 + ... + 184373.

It is an arithmetic number, because the mean of its divisors is an integer number (14758380).

Almost surely, 2^349781940 is an apocalyptic number.

349781940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349781940 is an abundant number, since it is smaller than the sum of its proper divisors (712821420).

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

349781940 is a wasteful number, since it uses less digits than its factorization.

349781940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 349781940 is about 18702.4581272088. The cubic root of 349781940 is about 704.5834871860.

The spelling of 349781940 in words is "three hundred forty-nine million, seven hundred eighty-one thousand, nine hundred forty".