34452688920 has 512 divisors, whose sum is σ = 121622860800. Its totient is φ = 7731412992.

The previous prime is 34452688873. The next prime is 34452688957. The reversal of 34452688920 is 2988625443.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 151773847 + ... + 151774073.

It is an arithmetic number, because the mean of its divisors is an integer number (237544650).

Almost surely, 2^34452688920 is an apocalyptic number.

34452688920 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 34452688920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60811430400).

34452688920 is an abundant number, since it is smaller than the sum of its proper divisors (87170171880).

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

34452688920 is a wasteful number, since it uses less digits than its factorization.

34452688920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 34452688920 in words is "thirty-four billion, four hundred fifty-two million, six hundred eighty-eight thousand, nine hundred twenty".