340546453632 has 512 divisors, whose sum is σ = 1293546700800. Its totient is φ = 85598208000.

The previous prime is 340546453631. The next prime is 340546453717. The reversal of 340546453632 is 236354645043.

340546453632 is a `hidden beast` number, since 3 + 4 + 0 + 5 + 4 + 6 + 4 + 5 + 3 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (340546453631) by changing a digit.

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, 8228832 + ... + 8270112.

It is an arithmetic number, because the mean of its divisors is an integer number (2526458400).

Almost surely, 2^340546453632 is an apocalyptic number.

340546453632 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 340546453632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646773350400).

340546453632 is an abundant number, since it is smaller than the sum of its proper divisors (953000247168).

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

340546453632 is a wasteful number, since it uses less digits than its factorization.

340546453632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41353 (or 41335 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 45.

The spelling of 340546453632 in words is "three hundred forty billion, five hundred forty-six million, four hundred fifty-three thousand, six hundred thirty-two".