345996 has 36 divisors (see below), whose sum is σ = 1000272. Its totient is φ = 98784.

The previous prime is 345979. The next prime is 345997. The reversal of 345996 is 699543.

345996 = T₁₄₃ + T₁₄₄ + ... + T₁₇₀.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 345996.

It is not an unprimeable number, because it can be changed into a prime (345997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 435 + ... + 938.

2³⁴⁵⁹⁹⁶ is an apocalyptic number.

345996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

345996 is an abundant number, since it is smaller than the sum of its proper divisors (654276).

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

345996 is a wasteful number, since it uses less digits than its factorization.

345996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1385 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 345996 is about 588.2142466823. The cubic root of 345996 is about 70.2032189821.

The spelling of 345996 in words is "three hundred forty-five thousand, nine hundred ninety-six".