34026753384 has 288 divisors, whose sum is σ = 102060241920. Its totient is φ = 10234957824.

The previous prime is 34026753377. The next prime is 34026753389. The reversal of 34026753384 is 48335762043.

34026753384 is a `hidden beast` number, since 3 + 4 + 0 + 267 + 5 + 3 + 384 = 666.

It is not an unprimeable number, because it can be changed into a prime (34026753389) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 149897479 + ... + 149897705.

It is an arithmetic number, because the mean of its divisors is an integer number (354375840).

Almost surely, 2^34026753384 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 34026753384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51030120960).

34026753384 is an abundant number, since it is smaller than the sum of its proper divisors (68033488536).

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

34026753384 is a wasteful number, since it uses less digits than its factorization.

34026753384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 34026753384 in words is "thirty-four billion, twenty-six million, seven hundred fifty-three thousand, three hundred eighty-four".