3137782416 has 120 divisors (see below), whose sum is σ = 8470207872. Its totient is φ = 1000224000.

The previous prime is 3137782393. The next prime is 3137782451. The reversal of 3137782416 is 6142877313.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20779941 + ... + 20780091.

Almost surely, 2^3137782416 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 3137782416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4235103936).

3137782416 is an abundant number, since it is smaller than the sum of its proper divisors (5332425456).

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

3137782416 is a wasteful number, since it uses less digits than its factorization.

3137782416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 264 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 3137782416 is about 56015.9121678832. The cubic root of 3137782416 is about 1463.9995446265. Note that the first 3 decimals are identical.

The spelling of 3137782416 in words is "three billion, one hundred thirty-seven million, seven hundred eighty-two thousand, four hundred sixteen".