34395009381 has 6 divisors (see below), whose sum is σ = 49681680230. Its totient is φ = 22930006248.

The previous prime is 34395009367. The next prime is 34395009457. The reversal of 34395009381 is 18390059343.

34395009381 is a `hidden beast` number, since 3 + 439 + 50 + 0 + 93 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26551073025 + 7843936356 = 162945^2 + 88566^2 .

It is not a de Polignac number, because 34395009381 - 2⁶ = 34395009317 is a prime.

It is a super-2 number, since 2×34395009381² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34395009581) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1910833846 + ... + 1910833863.

Almost surely, 2^34395009381 is an apocalyptic number.

It is an amenable number.

34395009381 is a deficient number, since it is larger than the sum of its proper divisors (15286670849).

34395009381 is a wasteful number, since it uses less digits than its factorization.

34395009381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3821667715 (or 3821667712 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 34395009381 in words is "thirty-four billion, three hundred ninety-five million, nine thousand, three hundred eighty-one".