1035534400 has 42 divisors (see below), whose sum is σ = 2548065770. Its totient is φ = 414213120.

The previous prime is 1035534397. The next prime is 1035534427. The reversal of 1035534400 is 44355301.

It can be written as a sum of positive squares in 3 ways, for example, as 154157056 + 881377344 = 12416^2 + 29688^2 .

It is a super-3 number, since 3×1035534400³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 322005 + ... + 325204.

Almost surely, 2^1035534400 is an apocalyptic number.

1035534400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1035534400 is an abundant number, since it is smaller than the sum of its proper divisors (1512531370).

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

1035534400 is an equidigital number, since it uses as much as digits as its factorization.

1035534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647231 (or 647216 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 1035534400 is about 32179.7203219668. The cubic root of 1035534400 is about 1011.7072064588.

Adding to 1035534400 its reverse (44355301), we get a palindrome (1079889701).

The spelling of 1035534400 in words is "one billion, thirty-five million, five hundred thirty-four thousand, four hundred".