345873024 has 384 divisors, whose sum is σ = 1279324800. Its totient is φ = 89800704.

The previous prime is 345873013. The next prime is 345873029. The reversal of 345873024 is 420378543.

It is a happy number.

345873024 is a `hidden beast` number, since 345 + 8 + 7 + 302 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 345873024.

It is not an unprimeable number, because it can be changed into a prime (345873029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11926642 + ... + 11926670.

It is an arithmetic number, because the mean of its divisors is an integer number (3331575).

Almost surely, 2^345873024 is an apocalyptic number.

345873024 is a gapful number since it is divisible by the number (34) 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 345873024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639662400).

345873024 is an abundant number, since it is smaller than the sum of its proper divisors (933451776).

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

345873024 is a wasteful number, since it uses less digits than its factorization.

345873024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 345873024 is about 18597.6617885152. The cubic root of 345873024 is about 701.9490064500.

The spelling of 345873024 in words is "three hundred forty-five million, eight hundred seventy-three thousand, twenty-four".