3831418248 has 128 divisors (see below), whose sum is σ = 12201062400. Its totient is φ = 976057344.

The previous prime is 3831418219. The next prime is 3831418271. The reversal of 3831418248 is 8428141383.

3831418248 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3831418248² = 29359531582214779008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

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, 18961 + ... + 89567.

It is an arithmetic number, because the mean of its divisors is an integer number (95320800).

Almost surely, 2^3831418248 is an apocalyptic number.

3831418248 is a gapful number since it is divisible by the number (38) 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 3831418248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6100531200).

3831418248 is an abundant number, since it is smaller than the sum of its proper divisors (8369644152).

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

3831418248 is a wasteful number, since it uses less digits than its factorization.

3831418248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70659 (or 70655 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 3831418248 is about 61898.4510953222. The cubic root of 3831418248 is about 1564.7796439059.

The spelling of 3831418248 in words is "three billion, eight hundred thirty-one million, four hundred eighteen thousand, two hundred forty-eight".