34654529448 has 384 divisors, whose sum is σ = 120848682240. Its totient is φ = 8709120000.

The previous prime is 34654529431. The next prime is 34654529471. The reversal of 34654529448 is 84492545643.

34654529448 is a `hidden beast` number, since 3 + 4 + 6 + 545 + 2 + 94 + 4 + 8 = 666.

It is a super-2 number, since 2×34654529448² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34654529394 and 34654529403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49435498 + ... + 49436198.

It is an arithmetic number, because the mean of its divisors is an integer number (314710110).

Almost surely, 2^34654529448 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 34654529448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60424341120).

34654529448 is an abundant number, since it is smaller than the sum of its proper divisors (86194152792).

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

34654529448 is a wasteful number, since it uses less digits than its factorization.

34654529448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 1002 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 34654529448 in words is "thirty-four billion, six hundred fifty-four million, five hundred twenty-nine thousand, four hundred forty-eight".