349734761376 has 1536 divisors, whose sum is σ = 1383797882880. Its totient is φ = 74351001600.

The previous prime is 349734761317. The next prime is 349734761381. The reversal of 349734761376 is 673167437943.

It is a super-2 number, since 2×349734761376² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2094220045 + ... + 2094220211.

It is an arithmetic number, because the mean of its divisors is an integer number (900910080).

Almost surely, 2^349734761376 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 349734761376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691898941440).

349734761376 is an abundant number, since it is smaller than the sum of its proper divisors (1034063121504).

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

349734761376 is a wasteful number, since it uses less digits than its factorization.

349734761376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 290 counting only the distinct ones).

The product of its digits is 48009024, while the sum is 60.

The spelling of 349734761376 in words is "three hundred forty-nine billion, seven hundred thirty-four million, seven hundred sixty-one thousand, three hundred seventy-six".