340332613632 has 208 divisors, whose sum is σ = 1099934660160. Its totient is φ = 103130726400.

The previous prime is 340332613627. The next prime is 340332613667. The reversal of 340332613632 is 236316233043.

340332613632 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 3 + 2 + 6 + 13 + 632 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1076632 + ... + 1356392.

Almost surely, 2^340332613632 is an apocalyptic number.

340332613632 is a gapful number since it is divisible by the number (32) 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 340332613632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549967330080).

340332613632 is an abundant number, since it is smaller than the sum of its proper divisors (759602046528).

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

340332613632 is a wasteful number, since it uses less digits than its factorization.

340332613632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279805 (or 279777 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 36.

Adding to 340332613632 its reverse (236316233043), we get a palindrome (576648846675).

The spelling of 340332613632 in words is "three hundred forty billion, three hundred thirty-two million, six hundred thirteen thousand, six hundred thirty-two".