349049442240 has 224 divisors, whose sum is σ = 1242880277760. Its totient is φ = 92209701888.

The previous prime is 349049442239. The next prime is 349049442241. The reversal of 349049442240 is 42244940943.

349049442240 is a `hidden beast` number, since 34 + 90 + 494 + 4 + 2 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (349049442239) and next prime (349049442241).

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 (349049442241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 735699 + ... + 1113261.

Almost surely, 2^349049442240 is an apocalyptic number.

349049442240 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 349049442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621440138880).

349049442240 is an abundant number, since it is smaller than the sum of its proper divisors (893830835520).

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

349049442240 is a wasteful number, since it uses less digits than its factorization.

349049442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377696 (or 377680 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 349049442240 in words is "three hundred forty-nine billion, forty-nine million, four hundred forty-two thousand, two hundred forty".