1233385344 has 96 divisors (see below), whose sum is σ = 3663791040. Its totient is φ = 397854720.

The previous prime is 1233385339. The next prime is 1233385369. The reversal of 1233385344 is 4435833321.

1233385344 is a `hidden beast` number, since 1 + 233 + 3 + 85 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 1233385299 and 1233385308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18444 + ... + 52980.

It is an arithmetic number, because the mean of its divisors is an integer number (38164490).

Almost surely, 2^1233385344 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 1233385344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831895520).

1233385344 is an abundant number, since it is smaller than the sum of its proper divisors (2430405696).

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

1233385344 is a wasteful number, since it uses less digits than its factorization.

1233385344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34588 (or 34573 counting only the distinct ones).

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

The square root of 1233385344 is about 35119.5863301378. The cubic root of 1233385344 is about 1072.4233495353.

The spelling of 1233385344 in words is "one billion, two hundred thirty-three million, three hundred eighty-five thousand, three hundred forty-four".