34423785648 has 400 divisors, whose sum is σ = 122807139840. Its totient is φ = 9088588800.

The previous prime is 34423785631. The next prime is 34423785677. The reversal of 34423785648 is 84658732443.

34423785648 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 3 + 78 + 564 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 34423785594 and 34423785603.

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, 7064653 + ... + 7069523.

Almost surely, 2^34423785648 is an apocalyptic number.

34423785648 is a gapful number since it is divisible by the number (38) 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 34423785648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61403569920).

34423785648 is an abundant number, since it is smaller than the sum of its proper divisors (88383354192).

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

34423785648 is a wasteful number, since it uses less digits than its factorization.

34423785648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4958 (or 4943 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 34423785648 in words is "thirty-four billion, four hundred twenty-three million, seven hundred eighty-five thousand, six hundred forty-eight".