3853977600 has 288 divisors, whose sum is σ = 13905047520. Its totient is φ = 933888000.

The previous prime is 3853977599. The next prime is 3853977601. The reversal of 3853977600 is 67793583.

It is an interprime number because it is at equal distance from previous prime (3853977599) and next prime (3853977601).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3853977600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3853977601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1688460 + ... + 1690740.

It is an arithmetic number, because the mean of its divisors is an integer number (48281415).

Almost surely, 2^3853977600 is an apocalyptic number.

3853977600 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 3853977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6952523760).

3853977600 is an abundant number, since it is smaller than the sum of its proper divisors (10051069920).

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

3853977600 is a wasteful number, since it uses less digits than its factorization.

3853977600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The square root of 3853977600 is about 62080.4123697644. The cubic root of 3853977600 is about 1567.8447715276.

The spelling of 3853977600 in words is "three billion, eight hundred fifty-three million, nine hundred seventy-seven thousand, six hundred".