34334142000 has 320 divisors, whose sum is σ = 114005024640. Its totient is φ = 8885760000.

The previous prime is 34334141983. The next prime is 34334142091. The reversal of 34334142000 is 24143343.

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

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, 32117466 + ... + 32118534.

It is an arithmetic number, because the mean of its divisors is an integer number (356265702).

Almost surely, 2^34334142000 is an apocalyptic number.

34334142000 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 34334142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57002512320).

34334142000 is an abundant number, since it is smaller than the sum of its proper divisors (79670882640).

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

34334142000 is a wasteful number, since it uses less digits than its factorization.

34334142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34334142000 its reverse (24143343), we get a palindrome (34358285343).

The spelling of 34334142000 in words is "thirty-four billion, three hundred thirty-four million, one hundred forty-two thousand".