349228949040 has 320 divisors, whose sum is σ = 1217645637120. Its totient is φ = 91992775680.

The previous prime is 349228949029. The next prime is 349228949087. The reversal of 349228949040 is 40949822943.

349228949040 is a `hidden beast` number, since 3 + 4 + 92 + 28 + 9 + 490 + 40 = 666.

349228949040 is digitally balanced in base 4, 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64229202 + ... + 64234638.

It is an arithmetic number, because the mean of its divisors is an integer number (3805142616).

Almost surely, 2^349228949040 is an apocalyptic number.

349228949040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349228949040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608822818560).

349228949040 is an abundant number, since it is smaller than the sum of its proper divisors (868416688080).

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

349228949040 is a wasteful number, since it uses less digits than its factorization.

349228949040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5817 (or 5805 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 349228949040 in words is "three hundred forty-nine billion, two hundred twenty-eight million, nine hundred forty-nine thousand, forty".