341936640000 has 1300 divisors, whose sum is σ = 1365437766924. Its totient is φ = 84934656000.

The previous prime is 341936639939. The next prime is 341936640011. The reversal of 341936640000 is 46639143.

341936640000 is a `hidden beast` number, since 3 + 4 + 1 + 9 + 3 + 6 + 640 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 225267941376 + 116668698624 = 474624^2 + 341568^2 .

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 99 ways as a sum of consecutive naturals, for example, 3525119952 + ... + 3525120048.

Almost surely, 2^341936640000 is an apocalyptic number.

341936640000 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 341936640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682718883462).

341936640000 is an abundant number, since it is smaller than the sum of its proper divisors (1023501126924).

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

341936640000 is an frugal number, since it uses more digits than its factorization.

341936640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 124 counting only the distinct ones).

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

The spelling of 341936640000 in words is "three hundred forty-one billion, nine hundred thirty-six million, six hundred forty thousand".