3828653760 has 224 divisors, whose sum is σ = 12659392512. Its totient is φ = 979292160.

The previous prime is 3828653743. The next prime is 3828653779. The reversal of 3828653760 is 673568283.

It is a super-2 number, since 2×3828653760² = 29317179227924275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 3779014 + ... + 3780026.

Almost surely, 2^3828653760 is an apocalyptic number.

3828653760 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 3828653760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6329696256).

3828653760 is an abundant number, since it is smaller than the sum of its proper divisors (8830738752).

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

3828653760 is a wasteful number, since it uses less digits than its factorization.

3828653760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 3828653760 is about 61876.1162323558. The cubic root of 3828653760 is about 1564.4032075501.

The spelling of 3828653760 in words is "three billion, eight hundred twenty-eight million, six hundred fifty-three thousand, seven hundred sixty".