345378000 has 160 divisors (see below), whose sum is σ = 1214957952. Its totient is φ = 83712000.

The previous prime is 345377999. The next prime is 345378013. The reversal of 345378000 is 873543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 63384 + ... + 68616.

Almost surely, 2^345378000 is an apocalyptic number.

345378000 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 345378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607478976).

345378000 is an abundant number, since it is smaller than the sum of its proper divisors (869579952).

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

345378000 is a wasteful number, since it uses less digits than its factorization.

345378000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5270 (or 5254 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 345378000 is about 18584.3482533018. The cubic root of 345378000 is about 701.6139629628.

The spelling of 345378000 in words is "three hundred forty-five million, three hundred seventy-eight thousand".