343367136 has 144 divisors (see below), whose sum is σ = 1123301088. Its totient is φ = 97459200.

The previous prime is 343367131. The next prime is 343367159. The reversal of 343367136 is 631763343.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (81648) is a multiple of the sum of its prime divisors (1134).

It is a self number, because there is not a number n which added to its sum of digits gives 343367136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343367131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364426 + ... + 365366.

It is an arithmetic number, because the mean of its divisors is an integer number (7800702).

Almost surely, 2^343367136 is an apocalyptic number.

343367136 is a gapful number since it is divisible by the number (36) 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 343367136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561650544).

343367136 is an abundant number, since it is smaller than the sum of its proper divisors (779933952).

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

343367136 is a wasteful number, since it uses less digits than its factorization.

343367136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1134 counting only the distinct ones).

The product of its digits is 81648, while the sum is 36.

The square root of 343367136 is about 18530.1682669100. The cubic root of 343367136 is about 700.2496633250.

The spelling of 343367136 in words is "three hundred forty-three million, three hundred sixty-seven thousand, one hundred thirty-six".