34002411144 has 128 divisors (see below), whose sum is σ = 100272816000. Its totient is φ = 9507262464.

The previous prime is 34002411143. The next prime is 34002411151. The reversal of 34002411144 is 44111420043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34002411143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43287 + ... + 264345.

It is an arithmetic number, because the mean of its divisors is an integer number (783381375).

Almost surely, 2^34002411144 is an apocalyptic number.

34002411144 is a gapful number since it is divisible by the number (34) 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 34002411144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50136408000).

34002411144 is an abundant number, since it is smaller than the sum of its proper divisors (66270404856).

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

34002411144 is a wasteful number, since it uses less digits than its factorization.

34002411144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221127 (or 221123 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 34002411144 its reverse (44111420043), we get a palindrome (78113831187).

The spelling of 34002411144 in words is "thirty-four billion, two million, four hundred eleven thousand, one hundred forty-four".