34103378241 has 75 divisors (see below), whose sum is σ = 54901660693. Its totient is φ = 21096815040.

The previous prime is 34103378219. The next prime is 34103378249. The reversal of 34103378241 is 14287330143.

The square root of 34103378241 is 184671.

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

34103378241 is a `hidden beast` number, since 3 + 41 + 0 + 3 + 378 + 241 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10584088641 + 23519289600 = 102879^2 + 153360^2 .

It is a de Polignac number, because none of the positive numbers 2^k-34103378241 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34103378196 and 34103378205.

It is not an unprimeable number, because it can be changed into a prime (34103378249) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 480329236 + ... + 480329306.

Almost surely, 2^34103378241 is an apocalyptic number.

34103378241 is the 184671-st square number.

34103378241 is the 92336-th centered octagonal number.

It is an amenable number.

34103378241 is a deficient number, since it is larger than the sum of its proper divisors (20798282452).

34103378241 is an frugal number, since it uses more digits than its factorization.

34103378241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Multiplying 34103378241 by its sum of digits (36), we get a square (1227721616676 = 1108026²).

The spelling of 34103378241 in words is "thirty-four billion, one hundred three million, three hundred seventy-eight thousand, two hundred forty-one".