1034004400 has 120 divisors (see below), whose sum is σ = 2918656944. Its totient is φ = 347059200.

The previous prime is 1034004373. The next prime is 1034004407. The reversal of 1034004400 is 44004301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1034004407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48162 + ... + 66238.

Almost surely, 2^1034004400 is an apocalyptic number.

1034004400 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 1034004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459328472).

1034004400 is an abundant number, since it is smaller than the sum of its proper divisors (1884652544).

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

1034004400 is a wasteful number, since it uses less digits than its factorization.

1034004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18119 (or 18108 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1034004400 is about 32155.9387982998. The cubic root of 1034004400 is about 1011.2086957389.

Adding to 1034004400 its reverse (44004301), we get a palindrome (1078008701).

Subtracting from 1034004400 its reverse (44004301), we obtain a palindrome (990000099).

The spelling of 1034004400 in words is "one billion, thirty-four million, four thousand, four hundred".