34121088000 has 528 divisors, whose sum is σ = 127628059104. Its totient is φ = 9090662400.

The previous prime is 34121087999. The next prime is 34121088007. The reversal of 34121088000 is 88012143.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34121088007) 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 47 ways as a sum of consecutive naturals, for example, 31103452 + ... + 31104548.

Almost surely, 2^34121088000 is an apocalyptic number.

34121088000 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 34121088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63814029552).

34121088000 is an abundant number, since it is smaller than the sum of its proper divisors (93506971104).

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

34121088000 is an equidigital number, since it uses as much as digits as its factorization.

34121088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 34121088000 in words is "thirty-four billion, one hundred twenty-one million, eighty-eight thousand".