3821608980 has 432 divisors, whose sum is σ = 14221509120. Its totient is φ = 827076096.

The previous prime is 3821608969. The next prime is 3821609017. The reversal of 3821608980 is 898061283.

3821608980 is a `hidden beast` number, since 38 + 2 + 1 + 608 + 9 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17137149 + ... + 17137371.

It is an arithmetic number, because the mean of its divisors is an integer number (32920160).

Almost surely, 2^3821608980 is an apocalyptic number.

3821608980 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 3821608980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7110754560).

3821608980 is an abundant number, since it is smaller than the sum of its proper divisors (10399900140).

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

3821608980 is a wasteful number, since it uses less digits than its factorization.

3821608980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 3821608980 is about 61819.1635336487. The cubic root of 3821608980 is about 1563.4431100359.

The spelling of 3821608980 in words is "three billion, eight hundred twenty-one million, six hundred eight thousand, nine hundred eighty".