34435773648 has 400 divisors, whose sum is σ = 110068383744. Its totient is φ = 10346434560.

The previous prime is 34435773629. The next prime is 34435773649. The reversal of 34435773648 is 84637753443.

34435773648 is a `hidden beast` number, since 3 + 4 + 4 + 3 + 577 + 3 + 64 + 8 = 666.

It is a super-3 number, since 3×34435773648³ (a number of 33 digits) contains 333 as substring.

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 = 34435773594 and 34435773603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34435773649) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 86739786 + ... + 86740182.

Almost surely, 2^34435773648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34435773648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55034191872).

34435773648 is an abundant number, since it is smaller than the sum of its proper divisors (75632610096).

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

34435773648 is a wasteful number, since it uses less digits than its factorization.

34435773648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 577 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 54.

The spelling of 34435773648 in words is "thirty-four billion, four hundred thirty-five million, seven hundred seventy-three thousand, six hundred forty-eight".