3827832780 has 96 divisors (see below), whose sum is σ = 11215641024. Its totient is φ = 974398464.

The previous prime is 3827832769. The next prime is 3827832791. The reversal of 3827832780 is 872387283.

It is an interprime number because it is at equal distance from previous prime (3827832769) and next prime (3827832791).

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, 101394 + ... + 133926.

It is an arithmetic number, because the mean of its divisors is an integer number (116829594).

Almost surely, 2^3827832780 is an apocalyptic number.

3827832780 is a gapful number since it is divisible by the number (30) 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 3827832780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5607820512).

3827832780 is an abundant number, since it is smaller than the sum of its proper divisors (7387808244).

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

3827832780 is a wasteful number, since it uses less digits than its factorization.

3827832780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32635 (or 32633 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The square root of 3827832780 is about 61869.4818145425. The cubic root of 3827832780 is about 1564.2913809884.

The spelling of 3827832780 in words is "three billion, eight hundred twenty-seven million, eight hundred thirty-two thousand, seven hundred eighty".