349490491488 has 288 divisors, whose sum is σ = 1032100392960. Its totient is φ = 112110935040.

The previous prime is 349490491487. The next prime is 349490491499. The reversal of 349490491488 is 884194094943.

349490491488 is a `hidden beast` number, since 3 + 494 + 90 + 49 + 14 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349490491487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338981533 + ... + 338982563.

It is an arithmetic number, because the mean of its divisors is an integer number (3583681920).

Almost surely, 2^349490491488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349490491488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516050196480).

349490491488 is an abundant number, since it is smaller than the sum of its proper divisors (682609901472).

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

349490491488 is a wasteful number, since it uses less digits than its factorization.

349490491488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 349490491488 in words is "three hundred forty-nine billion, four hundred ninety million, four hundred ninety-one thousand, four hundred eighty-eight".