3821658672 has 120 divisors (see below), whose sum is σ = 10987807152. Its totient is φ = 1137784320.

The previous prime is 3821658661. The next prime is 3821658691. The reversal of 3821658672 is 2768561283.

It is a super-3 number, since 3×3821658672³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 596478 + ... + 602850.

Almost surely, 2^3821658672 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 3821658672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5493903576).

3821658672 is an abundant number, since it is smaller than the sum of its proper divisors (7166148480).

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

3821658672 is a wasteful number, since it uses less digits than its factorization.

3821658672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6459 (or 6422 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 3821658672 is about 61819.5654465477. The cubic root of 3821658672 is about 1563.4498864381.

The spelling of 3821658672 in words is "three billion, eight hundred twenty-one million, six hundred fifty-eight thousand, six hundred seventy-two".