340506453600 has 432 divisors, whose sum is σ = 1212451898112. Its totient is φ = 89918561280.

The previous prime is 340506453587. The next prime is 340506453607. The reversal of 340506453600 is 6354605043.

340506453600 is a `hidden beast` number, since 3 + 4 + 0 + 5 + 0 + 6 + 45 + 3 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340506453607) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 604806919 + ... + 604807481.

It is an arithmetic number, because the mean of its divisors is an integer number (2806601616).

Almost surely, 2^340506453600 is an apocalyptic number.

340506453600 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 340506453600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606225949056).

340506453600 is an abundant number, since it is smaller than the sum of its proper divisors (871945444512).

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

340506453600 is a wasteful number, since it uses less digits than its factorization.

340506453600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 340506453600 in words is "three hundred forty billion, five hundred six million, four hundred fifty-three thousand, six hundred".