3682821120 has 352 divisors, whose sum is σ = 13073550336. Its totient is φ = 877363200.

The previous prime is 3682821119. The next prime is 3682821127. The reversal of 3682821120 is 211282863.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3682821127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11996007 + ... + 11996313.

It is an arithmetic number, because the mean of its divisors is an integer number (37140768).

Almost surely, 2^3682821120 is an apocalyptic number.

3682821120 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 3682821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6536775168).

3682821120 is an abundant number, since it is smaller than the sum of its proper divisors (9390729216).

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

3682821120 is a wasteful number, since it uses less digits than its factorization.

3682821120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 3682821120 is about 60686.2514907619. The cubic root of 3682821120 is about 1544.2829445576.

The spelling of 3682821120 in words is "three billion, six hundred eighty-two million, eight hundred twenty-one thousand, one hundred twenty".