34384925781 has 48 divisors (see below), whose sum is σ = 52875695808. Its totient is φ = 21457497600.

The previous prime is 34384925767. The next prime is 34384925789. The reversal of 34384925781 is 18752948343.

It is a happy number.

34384925781 is a `hidden beast` number, since 3 + 4 + 384 + 9 + 257 + 8 + 1 = 666.

It is not a de Polignac number, because 34384925781 - 2⁶ = 34384925717 is a prime.

It is a super-3 number, since 3×34384925781³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34384925789) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41577490 + ... + 41578316.

It is an arithmetic number, because the mean of its divisors is an integer number (1101576996).

Almost surely, 2^34384925781 is an apocalyptic number.

It is an amenable number.

34384925781 is a deficient number, since it is larger than the sum of its proper divisors (18490770027).

34384925781 is a wasteful number, since it uses less digits than its factorization.

34384925781 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1999 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 34384925781 in words is "thirty-four billion, three hundred eighty-four million, nine hundred twenty-five thousand, seven hundred eighty-one".