1361392032 has 384 divisors, whose sum is σ = 4963811328. Its totient is φ = 315187200.

The previous prime is 1361392027. The next prime is 1361392033. The reversal of 1361392032 is 2302931631.

It is not an unprimeable number, because it can be changed into a prime (1361392033) 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 63 ways as a sum of consecutive naturals, for example, 2978748 + ... + 2979204.

It is an arithmetic number, because the mean of its divisors is an integer number (12926592).

Almost surely, 2^1361392032 is an apocalyptic number.

1361392032 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 1361392032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481905664).

1361392032 is an abundant number, since it is smaller than the sum of its proper divisors (3602419296).

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

1361392032 is a wasteful number, since it uses less digits than its factorization.

1361392032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 1361392032 is about 36897.0463858559. The cubic root of 1361392032 is about 1108.3095313536.

It can be divided in two parts, 1361 and 392032, that added together give a palindrome (393393).

The spelling of 1361392032 in words is "one billion, three hundred sixty-one million, three hundred ninety-two thousand, thirty-two".