343135072 has 96 divisors (see below), whose sum is σ = 823011840. Its totient is φ = 137472000.

The previous prime is 343135061. The next prime is 343135099. The reversal of 343135072 is 270531343.

343135072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 343135072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 955629 + ... + 955987.

It is an arithmetic number, because the mean of its divisors is an integer number (8573040).

Almost surely, 2^343135072 is an apocalyptic number.

343135072 is a gapful number since it is divisible by the number (32) 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 343135072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411505920).

343135072 is an abundant number, since it is smaller than the sum of its proper divisors (479876768).

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

343135072 is a wasteful number, since it uses less digits than its factorization.

343135072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 343135072 is about 18523.9054197542. The cubic root of 343135072 is about 700.0918736555.

It can be divided in two parts, 3431 and 35072, that added together give a triangular number (38503 = T₂₇₇).

The spelling of 343135072 in words is "three hundred forty-three million, one hundred thirty-five thousand, seventy-two".