40034000 has 80 divisors (see below), whose sum is σ = 99602256. Its totient is φ = 15552000.

The previous prime is 40033967. The next prime is 40034021. The reversal of 40034000 is 43004.

40034000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6948496 + 33085504 = 2636^2 + 5752^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73730 + ... + 74270.

Almost surely, 2^40034000 is an apocalyptic number.

40034000 is a gapful number since it is divisible by the number (40) 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 40034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49801128).

40034000 is an abundant number, since it is smaller than the sum of its proper divisors (59568256).

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

40034000 is a wasteful number, since it uses less digits than its factorization.

40034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 40034000 is about 6327.2426854041. The cubic root of 40034000 is about 342.0920605307.

Adding to 40034000 its reverse (43004), we get a palindrome (40077004).

The spelling of 40034000 in words is "forty million, thirty-four thousand", and thus it is an eban number.