1000034412 has 96 divisors (see below), whose sum is σ = 2558110464. Its totient is φ = 302227200.

The previous prime is 1000034393. The next prime is 1000034417. The reversal of 1000034412 is 2144300001.

It is a junction number, because it is equal to n+sod(n) for n = 1000034391 and 1000034400.

It is not an unprimeable number, because it can be changed into a prime (1000034417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3021087 + ... + 3021417.

It is an arithmetic number, because the mean of its divisors is an integer number (26646984).

Almost surely, 2^1000034412 is an apocalyptic number.

1000034412 is a gapful number since it is divisible by the number (12) 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 1000034412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279055232).

1000034412 is an abundant number, since it is smaller than the sum of its proper divisors (1558076052).

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

1000034412 is a wasteful number, since it uses less digits than its factorization.

1000034412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1000034412 is about 31623.3206984972. The cubic root of 1000034412 is about 1000.0114705351.

Adding to 1000034412 its reverse (2144300001), we get a palindrome (3144334413).

The spelling of 1000034412 in words is "one billion, thirty-four thousand, four hundred twelve".