3784015872 has 512 divisors, whose sum is σ = 14092646400. Its totient is φ = 976748544.

The previous prime is 3784015861. The next prime is 3784015891. The reversal of 3784015872 is 2785104873.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×3784015872² = 28637552239095840768, which contains 22 as substring.

It is a congruent number.

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, 80510953 + ... + 80510999.

It is an arithmetic number, because the mean of its divisors is an integer number (27524700).

Almost surely, 2^3784015872 is an apocalyptic number.

3784015872 is a gapful number since it is divisible by the number (32) 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 3784015872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7046323200).

3784015872 is an abundant number, since it is smaller than the sum of its proper divisors (10308630528).

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

3784015872 is an equidigital number, since it uses as much as digits as its factorization.

3784015872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 3784015872 is about 61514.3550075915. The cubic root of 3784015872 is about 1558.2996858861.

The spelling of 3784015872 in words is "three billion, seven hundred eighty-four million, fifteen thousand, eight hundred seventy-two".