3846956652 has 240 divisors, whose sum is σ = 12606612480. Its totient is φ = 993772800.

The previous prime is 3846956647. The next prime is 3846956669. The reversal of 3846956652 is 2566596483.

3846956652 is a `hidden beast` number, since 38 + 46 + 9 + 566 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a Kaprekar number, because its square (14799075482367049104) can be partitioned into two parts whose sum is 3846956652.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6760624 + ... + 6761192.

It is an arithmetic number, because the mean of its divisors is an integer number (52527552).

Almost surely, 2^3846956652 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 3846956652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6303306240).

3846956652 is an abundant number, since it is smaller than the sum of its proper divisors (8759655828).

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

3846956652 is a wasteful number, since it uses less digits than its factorization.

3846956652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 863 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The square root of 3846956652 is about 62023.8393845463. The cubic root of 3846956652 is about 1566.8921239034.

The spelling of 3846956652 in words is "three billion, eight hundred forty-six million, nine hundred fifty-six thousand, six hundred fifty-two".