1772338944 has 288 divisors, whose sum is σ = 5368688640. Its totient is φ = 516096000.

The previous prime is 1772338907. The next prime is 1772338949. The reversal of 1772338944 is 4498332771.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1772338893 and 1772338902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1772338949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11737269 + ... + 11737419.

It is an arithmetic number, because the mean of its divisors is an integer number (18641280).

Almost surely, 2^1772338944 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 1772338944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684344320).

1772338944 is an abundant number, since it is smaller than the sum of its proper divisors (3596349696).

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

1772338944 is a wasteful number, since it uses less digits than its factorization.

1772338944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 233 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 1772338944 is about 42099.1560960549. The cubic root of 1772338944 is about 1210.1770894873.

The spelling of 1772338944 in words is "one billion, seven hundred seventy-two million, three hundred thirty-eight thousand, nine hundred forty-four".