34557444 has 72 divisors (see below), whose sum is σ = 91728000. Its totient is φ = 10954944.

The previous prime is 34557443. The next prime is 34557449. The reversal of 34557444 is 44475543.

34557444 is a `hidden beast` number, since 3 + 45 + 574 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 34557399 and 34557408.

It is not an unprimeable number, because it can be changed into a prime (34557443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82267 + ... + 82685.

It is an arithmetic number, because the mean of its divisors is an integer number (1274000).

Almost surely, 2^34557444 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 34557444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45864000).

34557444 is an abundant number, since it is smaller than the sum of its proper divisors (57170556).

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

34557444 is a wasteful number, since it uses less digits than its factorization.

34557444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 532 counting only the distinct ones).

The product of its digits is 134400, while the sum is 36.

The square root of 34557444 is about 5878.5579864453. The cubic root of 34557444 is about 325.7220836413.

The spelling of 34557444 in words is "thirty-four million, five hundred fifty-seven thousand, four hundred forty-four".