34891473120 has 288 divisors, whose sum is σ = 128109413376. Its totient is φ = 7959168000.

The previous prime is 34891473109. The next prime is 34891473139. The reversal of 34891473120 is 2137419843.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14839945 + ... + 14842295.

It is an arithmetic number, because the mean of its divisors is an integer number (444824352).

Almost surely, 2^34891473120 is an apocalyptic number.

34891473120 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 34891473120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64054706688).

34891473120 is an abundant number, since it is smaller than the sum of its proper divisors (93217940256).

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

34891473120 is a wasteful number, since it uses less digits than its factorization.

34891473120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 34891473120 in words is "thirty-four billion, eight hundred ninety-one million, four hundred seventy-three thousand, one hundred twenty".