3848961600 has 567 divisors, whose sum is σ = 15363563761. Its totient is φ = 913228800.

The previous prime is 3848961559. The next prime is 3848961637. The reversal of 3848961600 is 61698483.

The square root of 3848961600 is 62040.

It is a perfect power (a square), and thus also a powerful number.

3848961600 is a `hidden beast` number, since 3 + 8 + 489 + 6 + 160 + 0 = 666.

3848961600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1385626176 + 2463335424 = 37224^2 + 49632^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 81892777 + ... + 81892823.

Almost surely, 2^3848961600 is an apocalyptic number.

3848961600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3848961600 is the 62040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3848961600

3848961600 is an abundant number, since it is smaller than the sum of its proper divisors (11514602161).

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

3848961600 is a wasteful number, since it uses less digits than its factorization.

3848961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The cubic root of 3848961600 is about 1567.1642863690.

The spelling of 3848961600 in words is "three billion, eight hundred forty-eight million, nine hundred sixty-one thousand, six hundred".