345646080 has 264 divisors, whose sum is σ = 1292017272. Its totient is φ = 84934656.

The previous prime is 345646073. The next prime is 345646087. The reversal of 345646080 is 80646543.

345646080 is a `hidden beast` number, since 3 + 4 + 5 + 646 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (345646073) and next prime (345646087).

It can be written as a sum of positive squares in 4 ways, for example, as 72999936 + 272646144 = 8544^2 + 16512^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345646087) 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, 598752 + ... + 599328.

Almost surely, 2^345646080 is an apocalyptic number.

345646080 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 345646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646008636).

345646080 is an abundant number, since it is smaller than the sum of its proper divisors (946371192).

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

345646080 is a wasteful number, since it uses less digits than its factorization.

345646080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 345646080 is about 18591.5593751573. The cubic root of 345646080 is about 701.7954453075.

The spelling of 345646080 in words is "three hundred forty-five million, six hundred forty-six thousand, eighty".