340412735600 has 120 divisors (see below), whose sum is σ = 935249628288. Its totient is φ = 116641324800.

The previous prime is 340412735549. The next prime is 340412735603. The reversal of 340412735600 is 6537214043.

It is a Cunningham number, because it is equal to 583449²-1.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340412735603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4631135 + ... + 4704065.

Almost surely, 2^340412735600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340412735600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467624814144).

340412735600 is an abundant number, since it is smaller than the sum of its proper divisors (594836892688).

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

340412735600 is a wasteful number, since it uses less digits than its factorization.

340412735600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74623 (or 74612 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

Adding to 340412735600 its reverse (6537214043), we get a palindrome (346949949643).

The spelling of 340412735600 in words is "three hundred forty billion, four hundred twelve million, seven hundred thirty-five thousand, six hundred".