345432120 has 128 divisors (see below), whose sum is σ = 1142138880. Its totient is φ = 82880000.

The previous prime is 345432107. The next prime is 345432127. The reversal of 345432120 is 21234543.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345432127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132025 + ... + 134615.

It is an arithmetic number, because the mean of its divisors is an integer number (8922960).

Almost surely, 2^345432120 is an apocalyptic number.

345432120 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 345432120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571069440).

345432120 is an abundant number, since it is smaller than the sum of its proper divisors (796706760).

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

345432120 is a wasteful number, since it uses less digits than its factorization.

345432120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 345432120 is about 18585.8042602412. The cubic root of 345432120 is about 701.6506081887.

Adding to 345432120 its reverse (21234543), we get a palindrome (366666663).

It can be divided in two parts, 34543 and 2120, that added together give a palindrome (36663).

The spelling of 345432120 in words is "three hundred forty-five million, four hundred thirty-two thousand, one hundred twenty".