341936640 has 400 divisors, whose sum is σ = 1310119272. Its totient is φ = 84934656.

The previous prime is 341936633. The next prime is 341936663. The reversal of 341936640 is 46639143.

341936640 is a `hidden beast` number, since 3 + 4 + 1 + 9 + 3 + 6 + 640 = 666.

341936640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 303595776 + 38340864 = 17424^2 + 6192^2 .

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 341936595 and 341936604.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3525072 + ... + 3525168.

Almost surely, 2^341936640 is an apocalyptic number.

341936640 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 341936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655059636).

341936640 is an abundant number, since it is smaller than the sum of its proper divisors (968182632).

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

341936640 is an equidigital number, since it uses as much as digits as its factorization.

341936640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 341936640 is about 18491.5288713508. The cubic root of 341936640 is about 699.2758770314.

The spelling of 341936640 in words is "three hundred forty-one million, nine hundred thirty-six thousand, six hundred forty".