345127972 has 48 divisors (see below), whose sum is σ = 735033600. Its totient is φ = 141468096.

The previous prime is 345127963. The next prime is 345127973. The reversal of 345127972 is 279721543.

345127972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×345127972² = 238226634113665568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (345127973) 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, 26088 + ... + 37024.

It is an arithmetic number, because the mean of its divisors is an integer number (15313200).

Almost surely, 2^345127972 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 345127972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367516800).

345127972 is an abundant number, since it is smaller than the sum of its proper divisors (389905628).

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

345127972 is a wasteful number, since it uses less digits than its factorization.

345127972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10985 (or 10969 counting only the distinct ones).

The product of its digits is 105840, while the sum is 40.

The square root of 345127972 is about 18577.6201920483. The cubic root of 345127972 is about 701.4446166388. Note that the first 3 decimals are identical.

The spelling of 345127972 in words is "three hundred forty-five million, one hundred twenty-seven thousand, nine hundred seventy-two".