3814177248 has 360 divisors, whose sum is σ = 13296036600. Its totient is φ = 1069189632.

The previous prime is 3814177243. The next prime is 3814177259. The reversal of 3814177248 is 8427714183.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3814177243) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7493218 + ... + 7493726.

It is an arithmetic number, because the mean of its divisors is an integer number (36933435).

Almost surely, 2^3814177248 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 3814177248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6648018300).

3814177248 is an abundant number, since it is smaller than the sum of its proper divisors (9481859352).

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

3814177248 is a wasteful number, since it uses less digits than its factorization.

3814177248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 580 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 3814177248 is about 61759.0256399824. The cubic root of 3814177248 is about 1562.4289970338.

The spelling of 3814177248 in words is "three billion, eight hundred fourteen million, one hundred seventy-seven thousand, two hundred forty-eight".