34812114480 has 480 divisors, whose sum is σ = 145436316480. Its totient is φ = 7331512320.

The previous prime is 34812114457. The next prime is 34812114481. The reversal of 34812114480 is 8441121843.

It is a happy number.

34812114480 is a `hidden beast` number, since 3 + 48 + 121 + 14 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34812114481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1740376 + ... + 1760264.

It is an arithmetic number, because the mean of its divisors is an integer number (302992326).

Almost surely, 2^34812114480 is an apocalyptic number.

34812114480 is a gapful number since it is divisible by the number (30) 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 34812114480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72718158240).

34812114480 is an abundant number, since it is smaller than the sum of its proper divisors (110624202000).

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

34812114480 is a wasteful number, since it uses less digits than its factorization.

34812114480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19949 (or 19940 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 34812114480 in words is "thirty-four billion, eight hundred twelve million, one hundred fourteen thousand, four hundred eighty".