34451153120 has 96 divisors (see below), whose sum is σ = 84211384320. Its totient is φ = 13304977920.

The previous prime is 34451153081. The next prime is 34451153131. The reversal of 34451153120 is 2135115443.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2189441 + ... + 2205119.

It is an arithmetic number, because the mean of its divisors is an integer number (877201920).

Almost surely, 2^34451153120 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 34451153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42105692160).

34451153120 is an abundant number, since it is smaller than the sum of its proper divisors (49760231200).

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

34451153120 is a wasteful number, since it uses less digits than its factorization.

34451153120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16168 (or 16160 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 34451153120 its reverse (2135115443), we get a palindrome (36586268563).

The spelling of 34451153120 in words is "thirty-four billion, four hundred fifty-one million, one hundred fifty-three thousand, one hundred twenty".