34183906848 has 768 divisors, whose sum is σ = 132088320000. Its totient is φ = 8522744832.

The previous prime is 34183906831. The next prime is 34183906859. The reversal of 34183906848 is 84860938143.

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 = 34183906794 and 34183906803.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73198711 + ... + 73199177.

It is an arithmetic number, because the mean of its divisors is an integer number (171990000).

Almost surely, 2^34183906848 is an apocalyptic number.

34183906848 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 34183906848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160000).

34183906848 is an abundant number, since it is smaller than the sum of its proper divisors (97904413152).

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

34183906848 is a wasteful number, since it uses less digits than its factorization.

34183906848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 34183906848 in words is "thirty-four billion, one hundred eighty-three million, nine hundred six thousand, eight hundred forty-eight".