34296444 has 216 divisors, whose sum is σ = 116494560. Its totient is φ = 8273664.

The previous prime is 34296371. The next prime is 34296467. The reversal of 34296444 is 44469243.

34296444 is a `hidden beast` number, since 3 + 4 + 2 + 9 + 644 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34296399 and 34296408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1182622 + ... + 1182650.

Almost surely, 2^34296444 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 34296444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58247280).

34296444 is an abundant number, since it is smaller than the sum of its proper divisors (82198116).

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

34296444 is a wasteful number, since it uses less digits than its factorization.

34296444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 73 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 34296444 is about 5856.3165898028. The cubic root of 34296444 is about 324.8999897404.

The spelling of 34296444 in words is "thirty-four million, two hundred ninety-six thousand, four hundred forty-four".