3724821828 has 288 divisors, whose sum is σ = 12521577600. Its totient is φ = 947987712.

The previous prime is 3724821827. The next prime is 3724821829. The reversal of 3724821828 is 8281284273.

3724821828 is a `hidden beast` number, since 372 + 48 + 218 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (3724821827) and next prime (3724821829).

It is not an unprimeable number, because it can be changed into a prime (3724821827) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1994151 + ... + 1996017.

It is an arithmetic number, because the mean of its divisors is an integer number (43477700).

Almost surely, 2^3724821828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3724821828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6260788800).

3724821828 is an abundant number, since it is smaller than the sum of its proper divisors (8796755772).

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

3724821828 is a wasteful number, since it uses less digits than its factorization.

3724821828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1921 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 3724821828 is about 61031.3184193165. The cubic root of 3724821828 is about 1550.1313559160.

The spelling of 3724821828 in words is "three billion, seven hundred twenty-four million, eight hundred twenty-one thousand, eight hundred twenty-eight".