34832060640 has 480 divisors, whose sum is σ = 134111134080. Its totient is φ = 8462278656.

The previous prime is 34832060633. The next prime is 34832060651. The reversal of 34832060640 is 4606023843.

It is a happy number.

34832060640 is a `hidden beast` number, since 3 + 4 + 8 + 3 + 2 + 0 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34832060595 and 34832060604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13308612 + ... + 13311228.

It is an arithmetic number, because the mean of its divisors is an integer number (279398196).

Almost surely, 2^34832060640 is an apocalyptic number.

34832060640 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 34832060640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67055567040).

34832060640 is an abundant number, since it is smaller than the sum of its proper divisors (99279073440).

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

34832060640 is a wasteful number, since it uses less digits than its factorization.

34832060640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 34832060640 in words is "thirty-four billion, eight hundred thirty-two million, sixty thousand, six hundred forty".