34144542120 has 256 divisors, whose sum is σ = 112121856000. Its totient is φ = 8268189696.

The previous prime is 34144542083. The next prime is 34144542137. The reversal of 34144542120 is 2124544143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26695641 + ... + 26696919.

It is an arithmetic number, because the mean of its divisors is an integer number (437976000).

Almost surely, 2^34144542120 is an apocalyptic number.

34144542120 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 34144542120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56060928000).

34144542120 is an abundant number, since it is smaller than the sum of its proper divisors (77977313880).

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

34144542120 is a wasteful number, since it uses less digits than its factorization.

34144542120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 34144542120 in words is "thirty-four billion, one hundred forty-four million, five hundred forty-two thousand, one hundred twenty".