349138445040 has 320 divisors, whose sum is σ = 1499331179520. Its totient is φ = 72548213760.

The previous prime is 349138445009. The next prime is 349138445063. The reversal of 349138445040 is 40544831943.

349138445040 is a `hidden beast` number, since 3 + 4 + 9 + 138 + 4 + 4 + 504 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 883279 + ... + 1215918.

It is an arithmetic number, because the mean of its divisors is an integer number (4685409936).

Almost surely, 2^349138445040 is an apocalyptic number.

349138445040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349138445040 is an abundant number, since it is smaller than the sum of its proper divisors (1150192734480).

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

349138445040 is a wasteful number, since it uses less digits than its factorization.

349138445040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099237 (or 2099225 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 349138445040 in words is "three hundred forty-nine billion, one hundred thirty-eight million, four hundred forty-five thousand, forty".