34972172928 has 512 divisors, whose sum is σ = 129935923200. Its totient is φ = 8995553280.

The previous prime is 34972172927. The next prime is 34972172933. The reversal of 34972172928 is 82927127943.

It is a happy number.

34972172928 is a `hidden beast` number, since 349 + 7 + 2 + 1 + 7 + 292 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (34972172927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30070075 + ... + 30071237.

It is an arithmetic number, because the mean of its divisors is an integer number (253781100).

Almost surely, 2^34972172928 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 34972172928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64967961600).

34972172928 is an abundant number, since it is smaller than the sum of its proper divisors (94963750272).

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

34972172928 is a wasteful number, since it uses less digits than its factorization.

34972172928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1299 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 34972172928 in words is "thirty-four billion, nine hundred seventy-two million, one hundred seventy-two thousand, nine hundred twenty-eight".