34072896 has 224 divisors, whose sum is σ = 113678208. Its totient is φ = 8847360.

The previous prime is 34072889. The next prime is 34072897. The reversal of 34072896 is 69827043.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34072897) 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, 466716 + ... + 466788.

It is an arithmetic number, because the mean of its divisors is an integer number (507492).

Almost surely, 2^34072896 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 34072896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56839104).

34072896 is an abundant number, since it is smaller than the sum of its proper divisors (79605312).

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

34072896 is a wasteful number, since it uses less digits than its factorization.

34072896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 34072896 is about 5837.1993284451. The cubic root of 34072896 is about 324.1925391186.

The spelling of 34072896 in words is "thirty-four million, seventy-two thousand, eight hundred ninety-six".