344114030330021 has 64 divisors (see below), whose sum is σ = 414381820723200. Its totient is φ = 279579719232000.

The previous prime is 344114030329943. The next prime is 344114030330069. The reversal of 344114030330021 is 120033030411443.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 344114030330021 - 2¹⁸ = 344114030067877 is a prime.

It is a super-2 number, since 2×344114030330021² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344114030330621) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10632929786 + ... + 10632962148.

It is an arithmetic number, because the mean of its divisors is an integer number (6474715948800).

Almost surely, 2^{344114030330021} is an apocalyptic number.

344114030330021 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

344114030330021 is a deficient number, since it is larger than the sum of its proper divisors (70267790393179).

344114030330021 is a wasteful number, since it uses less digits than its factorization.

344114030330021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37650.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 344114030330021 its reverse (120033030411443), we get a palindrome (464147060741464).

The spelling of 344114030330021 in words is "three hundred forty-four trillion, one hundred fourteen billion, thirty million, three hundred thirty thousand, twenty-one".