3886175030400 has 1152 divisors, whose sum is σ = 15916678923600. Its totient is φ = 894361927680.

The previous prime is 3886175030377. The next prime is 3886175030407. The reversal of 3886175030400 is 40305716883.

3886175030400 is a `hidden beast` number, since 3 + 88 + 61 + 7 + 503 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 123909632064 + 3762265398336 = 352008^2 + 1939656^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (3886175030407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 999271656 + ... + 999275544.

Almost surely, 2^{3886175030400} is an apocalyptic number.

3886175030400 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 3886175030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7958339461800).

3886175030400 is an abundant number, since it is smaller than the sum of its proper divisors (12030503893200).

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

3886175030400 is a wasteful number, since it uses less digits than its factorization.

3886175030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4106 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 3886175030400 in words is "three trillion, eight hundred eighty-six billion, one hundred seventy-five million, thirty thousand, four hundred".