345181824 has 240 divisors, whose sum is σ = 1118000070. Its totient is φ = 105670656.

The previous prime is 345181817. The next prime is 345181831. The reversal of 345181824 is 428181543.

It is an interprime number because it is at equal distance from previous prime (345181817) and next prime (345181831).

It can be written as a sum of positive squares in 3 ways, for example, as 276623424 + 68558400 = 16632^2 + 8280^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1752094 + ... + 1752290.

Almost surely, 2^345181824 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 345181824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559000035).

345181824 is an abundant number, since it is smaller than the sum of its proper divisors (772818246).

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

345181824 is a wasteful number, since it uses less digits than its factorization.

345181824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 215 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 345181824 is about 18579.0695138373. The cubic root of 345181824 is about 701.4810980158.

The spelling of 345181824 in words is "three hundred forty-five million, one hundred eighty-one thousand, eight hundred twenty-four".