1361875032 has 432 divisors, whose sum is σ = 4879307160. Its totient is φ = 353590272.

The previous prime is 1361874979. The next prime is 1361875033. The reversal of 1361875032 is 2305781631.

1361875032 is a `hidden beast` number, since 1 + 3 + 618 + 7 + 5 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361875033) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 46961194 + ... + 46961222.

Almost surely, 2^1361875032 is an apocalyptic number.

1361875032 is a gapful number since it is divisible by the number (12) 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 1361875032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439653580).

1361875032 is an abundant number, since it is smaller than the sum of its proper divisors (3517432128).

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

1361875032 is a wasteful number, since it uses less digits than its factorization.

1361875032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1361875032 is about 36903.5910447750. The cubic root of 1361875032 is about 1108.4405859890.

The spelling of 1361875032 in words is "one billion, three hundred sixty-one million, eight hundred seventy-five thousand, thirty-two".