34732383840 has 864 divisors, whose sum is σ = 152718392736. Its totient is φ = 7106641920.

The previous prime is 34732383839. The next prime is 34732383853. The reversal of 34732383840 is 4838323743.

34732383840 is a `hidden beast` number, since 3 + 473 + 23 + 83 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56659374 + ... + 56659986.

It is an arithmetic number, because the mean of its divisors is an integer number (176757399).

Almost surely, 2^34732383840 is an apocalyptic number.

34732383840 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 34732383840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76359196368).

34732383840 is an abundant number, since it is smaller than the sum of its proper divisors (117986008896).

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

34732383840 is a wasteful number, since it uses less digits than its factorization.

34732383840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 34732383840 in words is "thirty-four billion, seven hundred thirty-two million, three hundred eighty-three thousand, eight hundred forty".