3129489792 has 384 divisors, whose sum is σ = 10735189920. Its totient is φ = 869806080.

The previous prime is 3129489743. The next prime is 3129489793. The reversal of 3129489792 is 2979849213.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3129489793) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19932978 + ... + 19933134.

Almost surely, 2^3129489792 is an apocalyptic number.

3129489792 is a gapful number since it is divisible by the number (32) 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 3129489792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367594960).

3129489792 is an abundant number, since it is smaller than the sum of its proper divisors (7605700128).

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

3129489792 is a wasteful number, since it uses less digits than its factorization.

3129489792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 186 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 3129489792 is about 55941.8429442577. The cubic root of 3129489792 is about 1462.7087063974.

The spelling of 3129489792 in words is "three billion, one hundred twenty-nine million, four hundred eighty-nine thousand, seven hundred ninety-two".