3868160400 has 240 divisors, whose sum is σ = 14827384320. Its totient is φ = 952128000.

The previous prime is 3868160341. The next prime is 3868160411. The reversal of 3868160400 is 40618683.

It is a happy number.

3868160400 is a `hidden beast` number, since 38 + 68 + 160 + 400 = 666.

3868160400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126625 + ... + 154175.

It is an arithmetic number, because the mean of its divisors is an integer number (61780768).

Almost surely, 2^3868160400 is an apocalyptic number.

3868160400 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 3868160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7413692160).

3868160400 is an abundant number, since it is smaller than the sum of its proper divisors (10959223920).

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

3868160400 is a wasteful number, since it uses less digits than its factorization.

3868160400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27591 (or 27574 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3868160400 is about 62194.5367375624. The cubic root of 3868160400 is about 1569.7656620778.

The spelling of 3868160400 in words is "three billion, eight hundred sixty-eight million, one hundred sixty thousand, four hundred".