34026048 has 224 divisors, whose sum is σ = 119481600. Its totient is φ = 9289728.

The previous prime is 34026043. The next prime is 34026049. The reversal of 34026048 is 84062043.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34026043) 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, 350736 + ... + 350832.

It is an arithmetic number, because the mean of its divisors is an integer number (533400).

Almost surely, 2^34026048 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 34026048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59740800).

34026048 is an abundant number, since it is smaller than the sum of its proper divisors (85455552).

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

34026048 is a wasteful number, since it uses less digits than its factorization.

34026048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 34026048 is about 5833.1850647824. The cubic root of 34026048 is about 324.0438898019.

It can be divided in two parts, 3402 and 6048, that multiplied together give a square (20575296 = 4536²).

The spelling of 34026048 in words is "thirty-four million, twenty-six thousand, forty-eight".