1036275200 has 120 divisors (see below), whose sum is σ = 2703216120. Its totient is φ = 392601600.

The previous prime is 1036275199. The next prime is 1036275211. The reversal of 1036275200 is 25726301.

It is a super-3 number, since 3×1036275200³ (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1036275200.

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, 241070 + ... + 245330.

It is an arithmetic number, because the mean of its divisors is an integer number (22526801).

Almost surely, 2^1036275200 is an apocalyptic number.

1036275200 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 1036275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351608060).

1036275200 is an abundant number, since it is smaller than the sum of its proper divisors (1666940920).

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

1036275200 is an equidigital number, since it uses as much as digits as its factorization.

1036275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308 (or 4287 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 1036275200 is about 32191.2286189887. The cubic root of 1036275200 is about 1011.9484004583.

The spelling of 1036275200 in words is "one billion, thirty-six million, two hundred seventy-five thousand, two hundred".