345730536900 has 288 divisors, whose sum is σ = 1270998650880. Its totient is φ = 78976909440.

The previous prime is 345730536887. The next prime is 345730536917. The reversal of 345730536900 is 9635037543.

345730536900 is a `hidden beast` number, since 3 + 45 + 73 + 0 + 536 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×345730536900² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 38986267 + ... + 38995133.

It is an arithmetic number, because the mean of its divisors is an integer number (4413189760).

Almost surely, 2^345730536900 is an apocalyptic number.

345730536900 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 345730536900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635499325440).

345730536900 is an abundant number, since it is smaller than the sum of its proper divisors (925268113980).

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

345730536900 is a wasteful number, since it uses less digits than its factorization.

345730536900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10960 (or 10947 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The spelling of 345730536900 in words is "three hundred forty-five billion, seven hundred thirty million, five hundred thirty-six thousand, nine hundred".