3828975120 has 120 divisors (see below), whose sum is σ = 12886353792. Its totient is φ = 1018886400.

The previous prime is 3828975113. The next prime is 3828975149. The reversal of 3828975120 is 215798283.

It is a happy number.

3828975120 is a `hidden beast` number, since 382 + 89 + 75 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3828975120² = 29322100939158028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348105 + ... + 358935.

Almost surely, 2^3828975120 is an apocalyptic number.

3828975120 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 3828975120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6443176896).

3828975120 is an abundant number, since it is smaller than the sum of its proper divisors (9057378672).

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

3828975120 is a wasteful number, since it uses less digits than its factorization.

3828975120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11341 (or 11332 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 3828975120 is about 61878.7129795053. The cubic root of 3828975120 is about 1564.4469759851.

The spelling of 3828975120 in words is "three billion, eight hundred twenty-eight million, nine hundred seventy-five thousand, one hundred twenty".