345964500 has 288 divisors, whose sum is σ = 1304634240. Its totient is φ = 78926400.

The previous prime is 345964499. The next prime is 345964513. The reversal of 345964500 is 5469543.

It is a happy number.

345964500 is a `hidden beast` number, since 3 + 4 + 5 + 9 + 645 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 661239 + ... + 661761.

It is an arithmetic number, because the mean of its divisors is an integer number (4529980).

Almost surely, 2^345964500 is an apocalyptic number.

345964500 is a gapful number since it is divisible by the number (30) 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 345964500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652317120).

345964500 is an abundant number, since it is smaller than the sum of its proper divisors (958669740).

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

345964500 is a wasteful number, since it uses less digits than its factorization.

345964500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 345964500 is about 18600.1209673486. The cubic root of 345964500 is about 702.0108844831.

The spelling of 345964500 in words is "three hundred forty-five million, nine hundred sixty-four thousand, five hundred".