3841652160 has 336 divisors, whose sum is σ = 13676936832. Its totient is φ = 989184000.

The previous prime is 3841652149. The next prime is 3841652183. The reversal of 3841652160 is 612561483.

It is a happy number.

3841652160 is a `hidden beast` number, since 38 + 41 + 6 + 521 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13671220 + ... + 13671500.

Almost surely, 2^3841652160 is an apocalyptic number.

3841652160 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 3841652160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6838468416).

3841652160 is an abundant number, since it is smaller than the sum of its proper divisors (9835284672).

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

3841652160 is a wasteful number, since it uses less digits than its factorization.

3841652160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3841652160 is about 61981.0629144096. The cubic root of 3841652160 is about 1566.1716071733.

The spelling of 3841652160 in words is "three billion, eight hundred forty-one million, six hundred fifty-two thousand, one hundred sixty".