345874536 has 144 divisors (see below), whose sum is σ = 1130351040. Its totient is φ = 98794080.

The previous prime is 345874523. The next prime is 345874547. The reversal of 345874536 is 635478543.

345874536 is a `hidden beast` number, since 3 + 45 + 8 + 74 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 345874491 and 345874500.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93441 + ... + 97071.

It is an arithmetic number, because the mean of its divisors is an integer number (7849660).

Almost surely, 2^345874536 is an apocalyptic number.

345874536 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 345874536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565175520).

345874536 is an abundant number, since it is smaller than the sum of its proper divisors (784476504).

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

345874536 is a wasteful number, since it uses less digits than its factorization.

345874536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3666 (or 3643 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 345874536 is about 18597.7024387423. The cubic root of 345874536 is about 701.9500293161.

The spelling of 345874536 in words is "three hundred forty-five million, eight hundred seventy-four thousand, five hundred thirty-six".