1362541824 has 378 divisors, whose sum is σ = 4775371650. Its totient is φ = 386684928.

The previous prime is 1362541799. The next prime is 1362541837. The reversal of 1362541824 is 4281452631.

It is a happy number.

1362541824 is a `hidden beast` number, since 1 + 3 + 625 + 4 + 1 + 8 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 914457600 + 448084224 = 30240^2 + 21168^2 .

It is a tau number, because it is divible by the number of its divisors (378).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 9144502 + ... + 9144650.

Almost surely, 2^1362541824 is an apocalyptic number.

1362541824 is a gapful number since it is divisible by the number (14) 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 1362541824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387685825).

1362541824 is an abundant number, since it is smaller than the sum of its proper divisors (3412829826).

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

1362541824 is an frugal number, since it uses more digits than its factorization.

1362541824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 161 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 1362541824 is about 36912.6241819787. The cubic root of 1362541824 is about 1108.6214588558.

Subtracting from 1362541824 its product of digits (46080), we obtain a square (1362495744 = 36912²).

The spelling of 1362541824 in words is "one billion, three hundred sixty-two million, five hundred forty-one thousand, eight hundred twenty-four".