34131204000 has 144 divisors (see below), whose sum is σ = 121131770760. Its totient is φ = 9101644800.

The previous prime is 34131203999. The next prime is 34131204017. The reversal of 34131204000 is 40213143.

It can be written as a sum of positive squares in 4 ways, for example, as 1154096784 + 32977107216 = 33972^2 + 181596^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438045 + ... + 510044.

Almost surely, 2^34131204000 is an apocalyptic number.

34131204000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34131204000 is an abundant number, since it is smaller than the sum of its proper divisors (87000566760).

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

34131204000 is a wasteful number, since it uses less digits than its factorization.

34131204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948120 (or 948099 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 34131204000 its reverse (40213143), we get a palindrome (34171417143).

The spelling of 34131204000 in words is "thirty-four billion, one hundred thirty-one million, two hundred four thousand".