1000034040 has 128 divisors (see below), whose sum is σ = 3079710720. Its totient is φ = 259660800.

The previous prime is 1000034029. The next prime is 1000034041. The reversal of 1000034040 is 404300001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000034041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1584525 + ... + 1585155.

It is an arithmetic number, because the mean of its divisors is an integer number (24060240).

Almost surely, 2^1000034040 is an apocalyptic number.

1000034040 is a gapful number since it is divisible by the number (10) 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 1000034040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539855360).

1000034040 is an abundant number, since it is smaller than the sum of its proper divisors (2079676680).

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

1000034040 is a wasteful number, since it uses less digits than its factorization.

1000034040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1000034040 is about 31623.3148167614. The cubic root of 1000034040 is about 1000.0113465379.

Adding to 1000034040 its reverse (404300001), we get a palindrome (1404334041).

The spelling of 1000034040 in words is "one billion, thirty-four thousand, forty".