34211641152 has 224 divisors, whose sum is σ = 100464908544. Its totient is φ = 10207641600.

The previous prime is 34211641133. The next prime is 34211641159. The reversal of 34211641152 is 25114611243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34211641159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18521893 + ... + 18523739.

It is an arithmetic number, because the mean of its divisors is an integer number (448504056).

Almost surely, 2^34211641152 is an apocalyptic number.

34211641152 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 34211641152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50232454272).

34211641152 is an abundant number, since it is smaller than the sum of its proper divisors (66253267392).

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

34211641152 is a wasteful number, since it uses less digits than its factorization.

34211641152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2087 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The spelling of 34211641152 in words is "thirty-four billion, two hundred eleven million, six hundred forty-one thousand, one hundred fifty-two".