34477083648 has 660 divisors, whose sum is σ = 127063431000. Its totient is φ = 9252569088.

The previous prime is 34477083643. The next prime is 34477083661. The reversal of 34477083648 is 84638077443.

34477083648 is a `hidden beast` number, since 34 + 477 + 0 + 83 + 64 + 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 = 34477083594 and 34477083603.

It is not an unprimeable number, because it can be changed into a prime (34477083643) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 69092103 + ... + 69092601.

It is an arithmetic number, because the mean of its divisors is an integer number (192520350).

Almost surely, 2^34477083648 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 34477083648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63531715500).

34477083648 is an abundant number, since it is smaller than the sum of its proper divisors (92586347352).

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

34477083648 is a wasteful number, since it uses less digits than its factorization.

34477083648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 34477083648 in words is "thirty-four billion, four hundred seventy-seven million, eighty-three thousand, six hundred forty-eight".