349346917332 has 384 divisors, whose sum is σ = 1067038801920. Its totient is φ = 96798913920.

The previous prime is 349346917313. The next prime is 349346917351. The reversal of 349346917332 is 233719643943.

It is a happy number.

349346917332 is a `hidden beast` number, since 3 + 4 + 9 + 3 + 469 + 173 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (349346917313) and next prime (349346917351).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (8817984) is a multiple of the sum of its prime divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1234441263 + ... + 1234441545.

It is an arithmetic number, because the mean of its divisors is an integer number (2778746880).

Almost surely, 2^349346917332 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 349346917332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533519400960).

349346917332 is an abundant number, since it is smaller than the sum of its proper divisors (717691884588).

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

349346917332 is a wasteful number, since it uses less digits than its factorization.

349346917332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 672 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 54.

The spelling of 349346917332 in words is "three hundred forty-nine billion, three hundred forty-six million, nine hundred seventeen thousand, three hundred thirty-two".