1035374144 has 56 divisors (see below), whose sum is σ = 2471684160. Its totient is φ = 420374016.

The previous prime is 1035374143. The next prime is 1035374149. The reversal of 1035374144 is 4414735301.

1035374144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×1035374144³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1035374144.

It is not an unprimeable number, because it can be changed into a prime (1035374143) 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, 52307 + ... + 69330.

Almost surely, 2^1035374144 is an apocalyptic number.

1035374144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1035374144 is an abundant number, since it is smaller than the sum of its proper divisors (1436310016).

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

1035374144 is a wasteful number, since it uses less digits than its factorization.

1035374144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121675 (or 121665 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 1035374144 is about 32177.2302101968. The cubic root of 1035374144 is about 1011.6550142399.

The spelling of 1035374144 in words is "one billion, thirty-five million, three hundred seventy-four thousand, one hundred forty-four".