340412735601 has 9 divisors (see below), whose sum is σ = 491709813049. Its totient is φ = 226940656836.

The previous prime is 340412735549. The next prime is 340412735603. The reversal of 340412735601 is 106537214043.

The square root of 340412735601 is 583449.

It is a perfect power (a square), and thus also a powerful number.

340412735601 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 12 + 7 + 35 + 601 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 340412735601 - 2²³ = 340404346993 is a prime.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 1653106 + ... + 1847588.

Almost surely, 2^340412735601 is an apocalyptic number.

340412735601 is the 583449-th square number.

340412735601 is the 291725-th centered octagonal number.

It is an amenable number.

340412735601 is a deficient number, since it is larger than the sum of its proper divisors (151297077448).

340412735601 is an frugal number, since it uses more digits than its factorization.

340412735601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388972 (or 194486 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Multiplying 340412735601 by its sum of digits (36), we get a square (12254858481636 = 3500694²).

Adding to 340412735601 its reverse (106537214043), we get a palindrome (446949949644).

The spelling of 340412735601 in words is "three hundred forty billion, four hundred twelve million, seven hundred thirty-five thousand, six hundred one".