1034400020 has 24 divisors (see below), whose sum is σ = 2300019624. Its totient is φ = 389421056.

The previous prime is 1034400019. The next prime is 1034400023. The reversal of 1034400020 is 200044301.

It can be written as a sum of positive squares in 4 ways, for example, as 24940036 + 1009459984 = 4994^2 + 31772^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1034399968 and 1034400004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034400023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1520837 + ... + 1521516.

It is an arithmetic number, because the mean of its divisors is an integer number (95834151).

Almost surely, 2^1034400020 is an apocalyptic number.

1034400020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034400020 is an abundant number, since it is smaller than the sum of its proper divisors (1265619604).

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

1034400020 is a wasteful number, since it uses less digits than its factorization.

1034400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3042379 (or 3042377 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1034400020 is about 32162.0897952854. The cubic root of 1034400020 is about 1011.3376453428.

Adding to 1034400020 its reverse (200044301), we get a palindrome (1234444321).

The spelling of 1034400020 in words is "one billion, thirty-four million, four hundred thousand, twenty".