345780000 has 360 divisors, whose sum is σ = 1312539228. Its totient is φ = 86016000.

The previous prime is 345779971. The next prime is 345780053. The reversal of 345780000 is 87543.

It can be written as a sum of positive squares in 10 ways, for example, as 68757264 + 277022736 = 8292^2 + 16644^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3059944 + ... + 3060056.

Almost surely, 2^345780000 is an apocalyptic number.

345780000 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 345780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656269614).

345780000 is an abundant number, since it is smaller than the sum of its proper divisors (966759228).

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

345780000 is a wasteful number, since it uses less digits than its factorization.

345780000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 345780000 is about 18595.1606607741. The cubic root of 345780000 is about 701.8860700979.

The spelling of 345780000 in words is "three hundred forty-five million, seven hundred eighty thousand".