3820411224 has 288 divisors, whose sum is σ = 13124250000. Its totient is φ = 1026514944.

The previous prime is 3820411183. The next prime is 3820411271. The reversal of 3820411224 is 4221140283.

3820411224 is a `hidden beast` number, since 3 + 8 + 20 + 411 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3058152 + ... + 3059400.

Almost surely, 2^3820411224 is an apocalyptic number.

3820411224 is a gapful number since it is divisible by the number (34) 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 3820411224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6562125000).

3820411224 is an abundant number, since it is smaller than the sum of its proper divisors (9303838776).

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

3820411224 is a wasteful number, since it uses less digits than its factorization.

3820411224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3820411224 is about 61809.4751959600. The cubic root of 3820411224 is about 1563.2797565857.

The spelling of 3820411224 in words is "three billion, eight hundred twenty million, four hundred eleven thousand, two hundred twenty-four".