34050420144 has 240 divisors, whose sum is σ = 111408643200. Its totient is φ = 9925224192.

The previous prime is 34050420097. The next prime is 34050420179. The reversal of 34050420144 is 44102405043.

It is a happy number.

It is a super-2 number, since 2×34050420144² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1374879 + ... + 1399425.

It is an arithmetic number, because the mean of its divisors is an integer number (464202680).

Almost surely, 2^34050420144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34050420144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55704321600).

34050420144 is an abundant number, since it is smaller than the sum of its proper divisors (77358223056).

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

34050420144 is a wasteful number, since it uses less digits than its factorization.

34050420144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24609 (or 24584 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 34050420144 its reverse (44102405043), we get a palindrome (78152825187).

The spelling of 34050420144 in words is "thirty-four billion, fifty million, four hundred twenty thousand, one hundred forty-four".