34497840384 has 360 divisors, whose sum is σ = 118129856768. Its totient is φ = 9808957440.

The previous prime is 34497840301. The next prime is 34497840389. The reversal of 34497840384 is 48304879443.

34497840384 is a `hidden beast` number, since 34 + 497 + 8 + 40 + 3 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 34497840384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34497840389) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39335754 + ... + 39336630.

Almost surely, 2^34497840384 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 34497840384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59064928384).

34497840384 is an abundant number, since it is smaller than the sum of its proper divisors (83632016384).

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

34497840384 is an equidigital number, since it uses as much as digits as its factorization.

34497840384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 34497840384 in words is "thirty-four billion, four hundred ninety-seven million, eight hundred forty thousand, three hundred eighty-four".