3828657611520 has 504 divisors, whose sum is σ = 15714263546016. Its totient is φ = 875120246784.

The previous prime is 3828657611437. The next prime is 3828657611543. The reversal of 3828657611520 is 251167568283.

3828657611520 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 6 + 57 + 61 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6238764 + ... + 6824916.

Almost surely, 2^{3828657611520} is an apocalyptic number.

3828657611520 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 3828657611520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7857131773008).

3828657611520 is an abundant number, since it is smaller than the sum of its proper divisors (11885605934496).

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

3828657611520 is an frugal number, since it uses more digits than its factorization.

3828657611520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586199 (or 586170 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 3828657611520 in words is "three trillion, eight hundred twenty-eight billion, six hundred fifty-seven million, six hundred eleven thousand, five hundred twenty".