34296375552 has 144 divisors (see below), whose sum is σ = 97815211200. Its totient is φ = 10629677056.

The previous prime is 34296375539. The next prime is 34296375557. The reversal of 34296375552 is 25557369243.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 34296375495 and 34296375504.

It is not an unprimeable number, because it can be changed into a prime (34296375557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1067824 + ... + 1099472.

It is an arithmetic number, because the mean of its divisors is an integer number (679272300).

Almost surely, 2^34296375552 is an apocalyptic number.

34296375552 is a gapful number since it is divisible by the number (32) 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 34296375552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48907605600).

34296375552 is an abundant number, since it is smaller than the sum of its proper divisors (63518835648).

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

34296375552 is a wasteful number, since it uses less digits than its factorization.

34296375552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31768 (or 31754 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 51.

The spelling of 34296375552 in words is "thirty-four billion, two hundred ninety-six million, three hundred seventy-five thousand, five hundred fifty-two".