34045440 has 320 divisors, whose sum is σ = 131991552. Its totient is φ = 7372800.

The previous prime is 34045411. The next prime is 34045463. The reversal of 34045440 is 4454043.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34045440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1098225 + ... + 1098255.

Almost surely, 2^34045440 is an apocalyptic number.

34045440 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 34045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65995776).

34045440 is an abundant number, since it is smaller than the sum of its proper divisors (97946112).

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

34045440 is a wasteful number, since it uses less digits than its factorization.

34045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 34045440 is about 5834.8470416970. The cubic root of 34045440 is about 324.1054374113.

Adding to 34045440 its reverse (4454043), we get a palindrome (38499483).

The spelling of 34045440 in words is "thirty-four million, forty-five thousand, four hundred forty".