34131011004 has 18 divisors (see below), whose sum is σ = 86275611240. Its totient is φ = 11377003656.

The previous prime is 34131010973. The next prime is 34131011041. The reversal of 34131011004 is 40011013143.

34131011004 is a `hidden beast` number, since 341 + 310 + 1 + 10 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 474041784 + ... + 474041855.

Almost surely, 2^34131011004 is an apocalyptic number.

It is an amenable number.

34131011004 is an abundant number, since it is smaller than the sum of its proper divisors (52144600236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34131011004 is a wasteful number, since it uses less digits than its factorization.

34131011004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948083649 (or 948083644 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 34131011004 its reverse (40011013143), we get a palindrome (74142024147).

The spelling of 34131011004 in words is "thirty-four billion, one hundred thirty-one million, eleven thousand, four".