3853724160 has 640 divisors, whose sum is σ = 15096533760. Its totient is φ = 832634880.

The previous prime is 3853724137. The next prime is 3853724167. The reversal of 3853724160 is 614273583.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3853724167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132887026 + ... + 132887054.

It is an arithmetic number, because the mean of its divisors is an integer number (23588334).

Almost surely, 2^3853724160 is an apocalyptic number.

3853724160 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 3853724160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7548266880).

3853724160 is an abundant number, since it is smaller than the sum of its proper divisors (11242809600).

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

3853724160 is a wasteful number, since it uses less digits than its factorization.

3853724160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 3853724160 is about 62078.3711126508. The cubic root of 3853724160 is about 1567.8104032869.

The spelling of 3853724160 in words is "three billion, eight hundred fifty-three million, seven hundred twenty-four thousand, one hundred sixty".