34445429928 has 384 divisors, whose sum is σ = 119279692800. Its totient is φ = 9017858304.

The previous prime is 34445429927. The next prime is 34445429929. The reversal of 34445429928 is 82992454443.

34445429928 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 542 + 9 + 92 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (34445429927) and next prime (34445429929).

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

It is not an unprimeable number, because it can be changed into a prime (34445429927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41650651 + ... + 41651477.

It is an arithmetic number, because the mean of its divisors is an integer number (310624200).

Almost surely, 2^34445429928 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 34445429928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59639846400).

34445429928 is an abundant number, since it is smaller than the sum of its proper divisors (84834262872).

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

34445429928 is a wasteful number, since it uses less digits than its factorization.

34445429928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1015 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 34445429928 in words is "thirty-four billion, four hundred forty-five million, four hundred twenty-nine thousand, nine hundred twenty-eight".