1729381824 has 168 divisors, whose sum is σ = 5398770000. Its totient is φ = 527192064.

The previous prime is 1729381777. The next prime is 1729381837. The reversal of 1729381824 is 4281839271.

It is a happy number.

It is a super-2 number, since 2×1729381824² = 5981522986363133952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1729381824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314652 + ... + 320100.

Almost surely, 2^1729381824 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 1729381824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699385000).

1729381824 is an abundant number, since it is smaller than the sum of its proper divisors (3669388176).

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

1729381824 is a wasteful number, since it uses less digits than its factorization.

1729381824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5515 (or 5502 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 1729381824 is about 41585.8368197635. The cubic root of 1729381824 is about 1200.3197814423.

The spelling of 1729381824 in words is "one billion, seven hundred twenty-nine million, three hundred eighty-one thousand, eight hundred twenty-four".