3821213760 has 896 divisors, whose sum is σ = 16517136384. Its totient is φ = 725483520.

The previous prime is 3821213749. The next prime is 3821213761. The reversal of 3821213760 is 673121283.

It is a super-2 number, since 2×3821213760² = 29203349199226675200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3821213761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46038679 + ... + 46038761.

It is an arithmetic number, because the mean of its divisors is an integer number (18434304).

Almost surely, 2^3821213760 is an apocalyptic number.

3821213760 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 3821213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8258568192).

3821213760 is an abundant number, since it is smaller than the sum of its proper divisors (12695922624).

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

3821213760 is a wasteful number, since it uses less digits than its factorization.

3821213760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 3821213760 is about 61815.9668694100. The cubic root of 3821213760 is about 1563.3892125553.

It can be divided in two parts, 382121 and 3760, that added together give a triangular number (385881 = T₈₇₈).

The spelling of 3821213760 in words is "three billion, eight hundred twenty-one million, two hundred thirteen thousand, seven hundred sixty".