349092765360 has 320 divisors, whose sum is σ = 1320751180800. Its totient is φ = 84357199872.

The previous prime is 349092765323. The next prime is 349092765391. The reversal of 349092765360 is 63567290943.

349092765360 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 9 + 276 + 5 + 360 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 349092765297 and 349092765306.

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 63 ways as a sum of consecutive naturals, for example, 759004 + ... + 1128836.

It is an arithmetic number, because the mean of its divisors is an integer number (4127347440).

Almost surely, 2^349092765360 is an apocalyptic number.

349092765360 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 349092765360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660375590400).

349092765360 is an abundant number, since it is smaller than the sum of its proper divisors (971658415440).

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

349092765360 is a wasteful number, since it uses less digits than its factorization.

349092765360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369897 (or 369885 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 349092765360 in words is "three hundred forty-nine billion, ninety-two million, seven hundred sixty-five thousand, three hundred sixty".