34054944 has 192 divisors, whose sum is σ = 118444032. Its totient is φ = 8294400.

The previous prime is 34054939. The next prime is 34054949. The reversal of 34054944 is 44945043.

It is an interprime number because it is at equal distance from previous prime (34054939) and next prime (34054949).

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

It is not an unprimeable number, because it can be changed into a prime (34054949) 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, 125529 + ... + 125799.

It is an arithmetic number, because the mean of its divisors is an integer number (616896).

Almost surely, 2^34054944 is an apocalyptic number.

34054944 is a gapful number since it is divisible by the number (34) 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 34054944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59222016).

34054944 is an abundant number, since it is smaller than the sum of its proper divisors (84389088).

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

34054944 is a wasteful number, since it uses less digits than its factorization.

34054944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 34054944 is about 5835.6614021034. The cubic root of 34054944 is about 324.1355932999.

Adding to 34054944 its reverse (44945043), we get a palindrome (78999987).

The spelling of 34054944 in words is "thirty-four million, fifty-four thousand, nine hundred forty-four".