34440000 has 280 divisors, whose sum is σ = 133307328. Its totient is φ = 7680000.

The previous prime is 34439981. The next prime is 34440001. The reversal of 34440000 is 4443.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×34440000² = 2372227200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34440001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 839980 + ... + 840020.

Almost surely, 2^34440000 is an apocalyptic number.

34440000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66653664).

34440000 is an abundant number, since it is smaller than the sum of its proper divisors (98867328).

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

34440000 is an equidigital number, since it uses as much as digits as its factorization.

34440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 34440000 is about 5868.5603004485. The cubic root of 34440000 is about 325.3526743555.

Adding to 34440000 its reverse (4443), we get a palindrome (34444443).

The spelling of 34440000 in words is "thirty-four million, four hundred forty thousand".