3841248600 has 576 divisors, whose sum is σ = 15877555200. Its totient is φ = 812298240.

The previous prime is 3841248589. The next prime is 3841248611. The reversal of 3841248600 is 68421483.

3841248600 is a `hidden beast` number, since 3 + 8 + 4 + 1 + 2 + 48 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (3841248589) and next prime (3841248611).

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16921687 + ... + 16921913.

It is an arithmetic number, because the mean of its divisors is an integer number (27565200).

Almost surely, 2^3841248600 is an apocalyptic number.

3841248600 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 3841248600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7938777600).

3841248600 is an abundant number, since it is smaller than the sum of its proper divisors (12036306600).

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

3841248600 is a wasteful number, since it uses less digits than its factorization.

3841248600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3841248600 is about 61977.8073184265. The cubic root of 3841248600 is about 1566.1167638993.

The spelling of 3841248600 in words is "three billion, eight hundred forty-one million, two hundred forty-eight thousand, six hundred".