1035749268 has 60 divisors (see below), whose sum is σ = 2801045940. Its totient is φ = 333341568.

The previous prime is 1035749237. The next prime is 1035749269. The reversal of 1035749268 is 8629475301.

1035749268 is a `hidden beast` number, since 10 + 3 + 574 + 9 + 2 + 68 = 666.

1035749268 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 886371984 + 149377284 = 29772^2 + 12222^2 .

It is a super-3 number, since 3×1035749268³ (a number of 28 digits) contains 333 as substring.

1035749268 is strictly pandigital in base 10.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035749269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45721 + ... + 64512.

It is an arithmetic number, because the mean of its divisors is an integer number (46684099).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1035749268 = 2071498536, but 3⋅1035749268 = 3107247804 is not.

Almost surely, 2^1035749268 is an apocalyptic number.

1035749268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1035749268 is an abundant number, since it is smaller than the sum of its proper divisors (1765296672).

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

1035749268 is a wasteful number, since it uses less digits than its factorization.

1035749268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110278 (or 110267 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1035749268 is about 32183.0587110672. The cubic root of 1035749268 is about 1011.7771762800. Note that the first 3 decimals are identical.

The spelling of 1035749268 in words is "one billion, thirty-five million, seven hundred forty-nine thousand, two hundred sixty-eight".