1356436224 has 432 divisors, whose sum is σ = 4821223680. Its totient is φ = 360898560.

The previous prime is 1356436223. The next prime is 1356436253. The reversal of 1356436224 is 4226346531.

1356436224 is a `hidden beast` number, since 1 + 3 + 5 + 643 + 6 + 2 + 2 + 4 = 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 (1356436223) 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 47 ways as a sum of consecutive naturals, for example, 7577767 + ... + 7577945.

It is an arithmetic number, because the mean of its divisors is an integer number (11160240).

Almost surely, 2^1356436224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1356436224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410611840).

1356436224 is an abundant number, since it is smaller than the sum of its proper divisors (3464787456).

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

1356436224 is a wasteful number, since it uses less digits than its factorization.

1356436224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 231 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 1356436224 is about 36829.8279116262. The cubic root of 1356436224 is about 1106.9630547571.

It can be divided in two parts, 1356 and 436224, that added together give a triangular number (437580 = T₉₃₅).

The spelling of 1356436224 in words is "one billion, three hundred fifty-six million, four hundred thirty-six thousand, two hundred twenty-four".