345735936 has 432 divisors, whose sum is σ = 1312444224. Its totient is φ = 84934656.

The previous prime is 345735911. The next prime is 345735979. The reversal of 345735936 is 639537543.

345735936 is a `hidden beast` number, since 3 + 4 + 57 + 3 + 593 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 345735891 and 345735900.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3564240 + ... + 3564336.

Almost surely, 2^345735936 is an apocalyptic number.

345735936 is a gapful number since it is divisible by the number (36) 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 345735936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656222112).

345735936 is an abundant number, since it is smaller than the sum of its proper divisors (966708288).

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

345735936 is a wasteful number, since it uses less digits than its factorization.

345735936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 139 counting only the distinct ones).

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

The square root of 345735936 is about 18593.9757986290. The cubic root of 345735936 is about 701.8562542018.

It can be divided in two parts, 3457 and 35936, that added together give a palindrome (39393).

The spelling of 345735936 in words is "three hundred forty-five million, seven hundred thirty-five thousand, nine hundred thirty-six".