34374789288 has 192 divisors, whose sum is σ = 115905168000. Its totient is φ = 9394285824.

The previous prime is 34374789277. The next prime is 34374789289. The reversal of 34374789288 is 88298747343.

34374789288 is a `hidden beast` number, since 3 + 437 + 47 + 89 + 2 + 88 = 666.

It is a super-2 number, since 2×34374789288² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34374789289) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172828 + ... + 314036.

It is an arithmetic number, because the mean of its divisors is an integer number (603672750).

Almost surely, 2^34374789288 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 34374789288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57952584000).

34374789288 is an abundant number, since it is smaller than the sum of its proper divisors (81530378712).

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

34374789288 is a wasteful number, since it uses less digits than its factorization.

34374789288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141261 (or 141244 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 34374789288 in words is "thirty-four billion, three hundred seventy-four million, seven hundred eighty-nine thousand, two hundred eighty-eight".