34089406848 has 512 divisors, whose sum is σ = 118352640000. Its totient is φ = 9459597312.

The previous prime is 34089406807. The next prime is 34089406849. The reversal of 34089406848 is 84860498043.

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 = 34089406794 and 34089406803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34089406849) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171303453 + ... + 171303651.

It is an arithmetic number, because the mean of its divisors is an integer number (231157500).

Almost surely, 2^34089406848 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 34089406848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59176320000).

34089406848 is an abundant number, since it is smaller than the sum of its proper divisors (84263233152).

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

34089406848 is a wasteful number, since it uses less digits than its factorization.

34089406848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 34089406848 in words is "thirty-four billion, eighty-nine million, four hundred six thousand, eight hundred forty-eight".