3830120448 has 408 divisors, whose sum is σ = 13388116224. Its totient is φ = 951582720.

The previous prime is 3830120447. The next prime is 3830120449. The reversal of 3830120448 is 8440210383.

It is an interprime number because it is at equal distance from previous prime (3830120447) and next prime (3830120449).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3830120447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166526965 + ... + 166526987.

Almost surely, 2^3830120448 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 3830120448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6694058112).

3830120448 is an abundant number, since it is smaller than the sum of its proper divisors (9557995776).

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

3830120448 is an equidigital number, since it uses as much as digits as its factorization.

3830120448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 3830120448 is about 61887.9669079539. The cubic root of 3830120448 is about 1564.6029469037.

The spelling of 3830120448 in words is "three billion, eight hundred thirty million, one hundred twenty thousand, four hundred forty-eight".