34531114752 has 144 divisors (see below), whose sum is σ = 102802980000. Its totient is φ = 11432779776.

The previous prime is 34531114733. The next prime is 34531114771. The reversal of 34531114752 is 25741113543.

34531114752 is a `hidden beast` number, since 3 + 4 + 531 + 114 + 7 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (34531114733) and next prime (34531114771).

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1013124 + ... + 1046652.

Almost surely, 2^34531114752 is an apocalyptic number.

34531114752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34531114752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51401490000).

34531114752 is an abundant number, since it is smaller than the sum of its proper divisors (68271865248).

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

34531114752 is a wasteful number, since it uses less digits than its factorization.

34531114752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33703 (or 33683 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

It can be divided in two parts, 345311 and 14752, that added together give a palindrome (360063).

The spelling of 34531114752 in words is "thirty-four billion, five hundred thirty-one million, one hundred fourteen thousand, seven hundred fifty-two".