349501337712 has 120 divisors (see below), whose sum is σ = 1031835364560. Its totient is φ = 110129034240.

The previous prime is 349501337701. The next prime is 349501337729. The reversal of 349501337712 is 217733105943.

349501337712 is a `hidden beast` number, since 3 + 49 + 501 + 3 + 37 + 71 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1122748 + ... + 1399844.

It is an arithmetic number, because the mean of its divisors is an integer number (8598628038).

Almost surely, 2^349501337712 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 349501337712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515917682280).

349501337712 is an abundant number, since it is smaller than the sum of its proper divisors (682334026848).

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

349501337712 is a wasteful number, since it uses less digits than its factorization.

349501337712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277591 (or 277582 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 349501337712 in words is "three hundred forty-nine billion, five hundred one million, three hundred thirty-seven thousand, seven hundred twelve".