34054504440 has 128 divisors (see below), whose sum is σ = 111498508800. Its totient is φ = 8252126720.

The previous prime is 34054504439. The next prime is 34054504447. The reversal of 34054504440 is 4440545043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34054504447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4501381 + ... + 4508939.

It is an arithmetic number, because the mean of its divisors is an integer number (871082100).

Almost surely, 2^34054504440 is an apocalyptic number.

34054504440 is a gapful number since it is divisible by the number (30) 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 34054504440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55749254400).

34054504440 is an abundant number, since it is smaller than the sum of its proper divisors (77444004360).

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

34054504440 is a wasteful number, since it uses less digits than its factorization.

34054504440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10997 (or 10993 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 33.

The spelling of 34054504440 in words is "thirty-four billion, fifty-four million, five hundred four thousand, four hundred forty".