349298490240 has 640 divisors, whose sum is σ = 1487627665920. Its totient is φ = 76366540800.

The previous prime is 349298490239. The next prime is 349298490257. The reversal of 349298490240 is 42094892943.

349298490240 is a `hidden beast` number, since 3 + 49 + 2 + 98 + 490 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8325315 + ... + 8367165.

It is an arithmetic number, because the mean of its divisors is an integer number (2324418228).

Almost surely, 2^349298490240 is an apocalyptic number.

349298490240 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 349298490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743813832960).

349298490240 is an abundant number, since it is smaller than the sum of its proper divisors (1138329175680).

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

349298490240 is a wasteful number, since it uses less digits than its factorization.

349298490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41912 (or 41891 counting only the distinct ones).

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

The spelling of 349298490240 in words is "three hundred forty-nine billion, two hundred ninety-eight million, four hundred ninety thousand, two hundred forty".