349984967640 has 384 divisors, whose sum is σ = 1378362873600. Its totient is φ = 70216043520.

The previous prime is 349984967609. The next prime is 349984967701. The reversal of 349984967640 is 46769489943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1782427 + ... + 1969013.

It is an arithmetic number, because the mean of its divisors is an integer number (3589486650).

Almost surely, 2^349984967640 is an apocalyptic number.

349984967640 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 349984967640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689181436800).

349984967640 is an abundant number, since it is smaller than the sum of its proper divisors (1028377905960).

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

349984967640 is a wasteful number, since it uses less digits than its factorization.

349984967640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186655 (or 186644 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 69.

The spelling of 349984967640 in words is "three hundred forty-nine billion, nine hundred eighty-four million, nine hundred sixty-seven thousand, six hundred forty".