349737696 has 288 divisors, whose sum is σ = 1296207360. Its totient is φ = 90720000.

The previous prime is 349737683. The next prime is 349737721. The reversal of 349737696 is 696737943.

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

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.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 465321 + ... + 466071.

It is an arithmetic number, because the mean of its divisors is an integer number (4500720).

Almost surely, 2^349737696 is an apocalyptic number.

349737696 is a gapful number since it is divisible by the number (36) 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 349737696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648103680).

349737696 is an abundant number, since it is smaller than the sum of its proper divisors (946469664).

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

349737696 is a wasteful number, since it uses less digits than its factorization.

349737696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 774 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 54.

The square root of 349737696 is about 18701.2752506346. The cubic root of 349737696 is about 704.5537782896.

The spelling of 349737696 in words is "three hundred forty-nine million, seven hundred thirty-seven thousand, six hundred ninety-six".