1345224384 has 168 divisors, whose sum is σ = 4509739520. Its totient is φ = 375363072.

The previous prime is 1345224383. The next prime is 1345224389. The reversal of 1345224384 is 4834225431.

1345224384 is a `hidden beast` number, since 13 + 4 + 522 + 43 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (1345224383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169497 + ... + 177255.

Almost surely, 2^1345224384 is an apocalyptic number.

1345224384 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 1345224384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254869760).

1345224384 is an abundant number, since it is smaller than the sum of its proper divisors (3164515136).

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

1345224384 is a wasteful number, since it uses less digits than its factorization.

1345224384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7827 (or 7814 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 1345224384 is about 36677.3006640347. The cubic root of 1345224384 is about 1103.9046861633.

The spelling of 1345224384 in words is "one billion, three hundred forty-five million, two hundred twenty-four thousand, three hundred eighty-four".