345727536 has 320 divisors, whose sum is σ = 1199923200. Its totient is φ = 84860160.

The previous prime is 345727511. The next prime is 345727537. The reversal of 345727536 is 635727543.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (345727537) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4165351 + ... + 4165433.

It is an arithmetic number, because the mean of its divisors is an integer number (3749760).

Almost surely, 2^345727536 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 345727536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599961600).

345727536 is an abundant number, since it is smaller than the sum of its proper divisors (854195664).

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

345727536 is a wasteful number, since it uses less digits than its factorization.

345727536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 129 counting only the distinct ones).

The product of its digits is 529200, while the sum is 42.

The square root of 345727536 is about 18593.7499176471. The cubic root of 345727536 is about 701.8505700561.

The spelling of 345727536 in words is "three hundred forty-five million, seven hundred twenty-seven thousand, five hundred thirty-six".