345641500 has 48 divisors (see below), whose sum is σ = 759691296. Its totient is φ = 137376000.

The previous prime is 345641489. The next prime is 345641509. The reversal of 345641500 is 5146543.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345641509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79380 + ... + 83620.

It is an arithmetic number, because the mean of its divisors is an integer number (15826902).

Almost surely, 2^345641500 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 345641500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379845648).

345641500 is an abundant number, since it is smaller than the sum of its proper divisors (414049796).

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

345641500 is a wasteful number, since it uses less digits than its factorization.

345641500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4423 (or 4411 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 345641500 is about 18591.4362005736. The cubic root of 345641500 is about 701.7923455691.

The spelling of 345641500 in words is "three hundred forty-five million, six hundred forty-one thousand, five hundred".