34479846720 has 1120 divisors, whose sum is σ = 142755250176. Its totient is φ = 7821619200.

The previous prime is 34479846719. The next prime is 34479846749. The reversal of 34479846720 is 2764897443.

34479846720 is a `hidden beast` number, since 3 + 447 + 98 + 46 + 72 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 415419799 + ... + 415419881.

Almost surely, 2^34479846720 is an apocalyptic number.

34479846720 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 34479846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71377625088).

34479846720 is an abundant number, since it is smaller than the sum of its proper divisors (108275403456).

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

34479846720 is a wasteful number, since it uses less digits than its factorization.

34479846720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 34479846720 in words is "thirty-four billion, four hundred seventy-nine million, eight hundred forty-six thousand, seven hundred twenty".