3157288416 has 192 divisors, whose sum is σ = 9979200000. Its totient is φ = 967292928.

The previous prime is 3157288333. The next prime is 3157288423. The reversal of 3157288416 is 6148827513.

3157288416 is a `hidden beast` number, since 3 + 157 + 2 + 88 + 416 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 629085 + ... + 634083.

It is an arithmetic number, because the mean of its divisors is an integer number (51975000).

Almost surely, 2^3157288416 is an apocalyptic number.

3157288416 is a gapful number since it is divisible by the number (36) 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 3157288416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989600000).

3157288416 is an abundant number, since it is smaller than the sum of its proper divisors (6821911584).

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

3157288416 is a wasteful number, since it uses less digits than its factorization.

3157288416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5078 (or 5064 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 3157288416 is about 56189.7536566944. The cubic root of 3157288416 is about 1467.0269272954.

The spelling of 3157288416 in words is "three billion, one hundred fifty-seven million, two hundred eighty-eight thousand, four hundred sixteen".