1034434400 has 72 divisors (see below), whose sum is σ = 2533900320. Its totient is φ = 412367360.

The previous prime is 1034434397. The next prime is 1034434439. The reversal of 1034434400 is 44344301.

1034434400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 251561 + ... + 255639.

It is an arithmetic number, because the mean of its divisors is an integer number (35193060).

Almost surely, 2^1034434400 is an apocalyptic number.

1034434400 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 1034434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266950160).

1034434400 is an abundant number, since it is smaller than the sum of its proper divisors (1499465920).

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

1034434400 is a wasteful number, since it uses less digits than its factorization.

1034434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4416 (or 4403 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 1034434400 is about 32162.6242710386. The cubic root of 1034434400 is about 1011.3488497132.

Adding to 1034434400 its reverse (44344301), we get a palindrome (1078778701).

Subtracting from 1034434400 its reverse (44344301), we obtain a palindrome (990090099).

It can be divided in two parts, 10344 and 34400, that added together give a palindrome (44744).

The spelling of 1034434400 in words is "one billion, thirty-four million, four hundred thirty-four thousand, four hundred".