34433040 has 80 divisors (see below), whose sum is σ = 108796608. Its totient is φ = 9005568.

The previous prime is 34433017. The next prime is 34433053. The reversal of 34433040 is 4033443.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 34432998 and 34433016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11367 + ... + 14073.

Almost surely, 2^34433040 is an apocalyptic number.

34433040 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 34433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54398304).

34433040 is an abundant number, since it is smaller than the sum of its proper divisors (74363568).

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

34433040 is a wasteful number, since it uses less digits than its factorization.

34433040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 34433040 is about 5867.9672800724. The cubic root of 34433040 is about 325.3307559741.

Adding to 34433040 its reverse (4033443), we get a palindrome (38466483).

The spelling of 34433040 in words is "thirty-four million, four hundred thirty-three thousand, forty".