341545680 has 320 divisors, whose sum is σ = 1374912000. Its totient is φ = 77898240.

The previous prime is 341545667. The next prime is 341545717. The reversal of 341545680 is 86545143.

It is a happy number.

341545680 is a `hidden beast` number, since 3 + 41 + 54 + 568 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 740650 + ... + 741110.

It is an arithmetic number, because the mean of its divisors is an integer number (4296600).

Almost surely, 2^341545680 is an apocalyptic number.

341545680 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 341545680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687456000).

341545680 is an abundant number, since it is smaller than the sum of its proper divisors (1033366320).

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

341545680 is a wasteful number, since it uses less digits than its factorization.

341545680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 341545680 is about 18480.9545208033. The cubic root of 341545680 is about 699.0092651059.

It can be divided in two parts, 341545 and 680, that added together give a square (342225 = 585²).

The spelling of 341545680 in words is "three hundred forty-one million, five hundred forty-five thousand, six hundred eighty".