345736944036 has 243 divisors, whose sum is σ = 983690363019. Its totient is φ = 102310956000.

The previous prime is 345736944001. The next prime is 345736944037. The reversal of 345736944036 is 630449637543.

It is a happy number.

The square root of 345736944036 is 587994.

It is a perfect power (a square), and thus also a powerful number.

345736944036 is a `hidden beast` number, since 3 + 4 + 573 + 69 + 4 + 4 + 0 + 3 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (345736944037) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 2289648561 + ... + 2289648711.

Almost surely, 2^345736944036 is an apocalyptic number.

345736944036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

345736944036 is the 587994-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345736944036

345736944036 is an abundant number, since it is smaller than the sum of its proper divisors (637953418983).

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

345736944036 is a wasteful number, since it uses less digits than its factorization.

345736944036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 54.

The spelling of 345736944036 in words is "three hundred forty-five billion, seven hundred thirty-six million, nine hundred forty-four thousand, thirty-six".