349364640 has 48 divisors (see below), whose sum is σ = 1100500128. Its totient is φ = 93163776.

The previous prime is 349364633. The next prime is 349364651. The reversal of 349364640 is 46463943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 363442 + ... + 364401.

It is an arithmetic number, because the mean of its divisors is an integer number (22927086).

Almost surely, 2^349364640 is an apocalyptic number.

349364640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349364640 is an abundant number, since it is smaller than the sum of its proper divisors (751135488).

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

349364640 is a wasteful number, since it uses less digits than its factorization.

349364640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727861 (or 727853 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The square root of 349364640 is about 18691.2985102694. The cubic root of 349364640 is about 704.3031795057.

The spelling of 349364640 in words is "three hundred forty-nine million, three hundred sixty-four thousand, six hundred forty".