349006460000 has 120 divisors (see below), whose sum is σ = 936664127784. Its totient is φ = 126911360000.

The previous prime is 349006459933. The next prime is 349006460009. The reversal of 349006460000 is 64600943.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349006460009) 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 19 ways as a sum of consecutive naturals, for example, 573197 + ... + 1013196.

Almost surely, 2^349006460000 is an apocalyptic number.

It is an amenable number.

349006460000 is an abundant number, since it is smaller than the sum of its proper divisors (587657667784).

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

349006460000 is a wasteful number, since it uses less digits than its factorization.

349006460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586434 (or 1586411 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The spelling of 349006460000 in words is "three hundred forty-nine billion, six million, four hundred sixty thousand".