345536730 has 288 divisors, whose sum is σ = 1210023360. Its totient is φ = 67415040.

The previous prime is 345536707. The next prime is 345536731. The reversal of 345536730 is 37635543.

345536730 is a `hidden beast` number, since 34 + 553 + 6 + 73 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (345536731) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 824461 + ... + 824879.

It is an arithmetic number, because the mean of its divisors is an integer number (4201470).

Almost surely, 2^345536730 is an apocalyptic number.

345536730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345536730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605011680).

345536730 is an abundant number, since it is smaller than the sum of its proper divisors (864486630).

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

345536730 is a wasteful number, since it uses less digits than its factorization.

345536730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The square root of 345536730 is about 18588.6182918473. The cubic root of 345536730 is about 701.7214298810.

The spelling of 345536730 in words is "three hundred forty-five million, five hundred thirty-six thousand, seven hundred thirty".