3868737600 has 672 divisors, whose sum is σ = 16572439296. Its totient is φ = 766771200.

The previous prime is 3868737553. The next prime is 3868737623. The reversal of 3868737600 is 67378683.

It is a tau number, because it is divible by the number of its divisors (672).

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 3868737600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7425340 + ... + 7425860.

It is an arithmetic number, because the mean of its divisors is an integer number (24661368).

Almost surely, 2^3868737600 is an apocalyptic number.

3868737600 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 3868737600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8286219648).

3868737600 is an abundant number, since it is smaller than the sum of its proper divisors (12703701696).

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

3868737600 is a wasteful number, since it uses less digits than its factorization.

3868737600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 3868737600 is about 62199.1768434278. The cubic root of 3868737600 is about 1569.8437374059.

The spelling of 3868737600 in words is "three billion, eight hundred sixty-eight million, seven hundred thirty-seven thousand, six hundred".