3127493776 has 135 divisors (see below), whose sum is σ = 7054201497. Its totient is φ = 1342176000.

The previous prime is 3127493741. The next prime is 3127493779. The reversal of 3127493776 is 6773947213.

The square root of 3127493776 is 55924.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 150700176 + 2976793600 = 12276^2 + 54560^2 .

It is not an unprimeable number, because it can be changed into a prime (3127493779) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 76280316 + ... + 76280356.

Almost surely, 2^3127493776 is an apocalyptic number.

3127493776 is the 55924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3127493776

3127493776 is an abundant number, since it is smaller than the sum of its proper divisors (3926707721).

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

3127493776 is a wasteful number, since it uses less digits than its factorization.

3127493776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 85 counting only the distinct ones).

The product of its digits is 1333584, while the sum is 49.

The cubic root of 3127493776 is about 1462.3976641180.

Multiplying 3127493776 by its sum of digits (49), we get a square (153247195024 = 391468²).

The spelling of 3127493776 in words is "three billion, one hundred twenty-seven million, four hundred ninety-three thousand, seven hundred seventy-six".