3828674508120 has 960 divisors, whose sum is σ = 16256236550400. Its totient is φ = 785178800640.

The previous prime is 3828674508091. The next prime is 3828674508149. The reversal of 3828674508120 is 218054768283.

3828674508120 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 6 + 7 + 4 + 508 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (3828674508091) and next prime (3828674508149).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1557003451 + ... + 1557005909.

It is an arithmetic number, because the mean of its divisors is an integer number (16933579740).

Almost surely, 2^{3828674508120} is an apocalyptic number.

3828674508120 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 3828674508120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8128118275200).

3828674508120 is an abundant number, since it is smaller than the sum of its proper divisors (12427562042280).

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

3828674508120 is a wasteful number, since it uses less digits than its factorization.

3828674508120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 3828674508120 in words is "three trillion, eight hundred twenty-eight billion, six hundred seventy-four million, five hundred eight thousand, one hundred twenty".