3853249920 has 512 divisors, whose sum is σ = 15576624000. Its totient is φ = 891813888.

The previous prime is 3853249919. The next prime is 3853249943. The reversal of 3853249920 is 299423583.

It is a happy number.

3853249920 is a `hidden beast` number, since 3 + 8 + 532 + 4 + 99 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3818376 + ... + 3819384.

Almost surely, 2^3853249920 is an apocalyptic number.

3853249920 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 3853249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7788312000).

3853249920 is an abundant number, since it is smaller than the sum of its proper divisors (11723374080).

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

3853249920 is a wasteful number, since it uses less digits than its factorization.

3853249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3853249920 is about 62074.5513072789. The cubic root of 3853249920 is about 1567.7460889703.

The spelling of 3853249920 in words is "three billion, eight hundred fifty-three million, two hundred forty-nine thousand, nine hundred twenty".