3887715542400 has 288 divisors, whose sum is σ = 13895176276800. Its totient is φ = 1035011543040.

The previous prime is 3887715542377. The next prime is 3887715542453. The reversal of 3887715542400 is 42455177883.

3887715542400 is a `hidden beast` number, since 3 + 8 + 87 + 7 + 1 + 554 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3887715542400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17370406 + ... + 17592794.

It is an arithmetic number, because the mean of its divisors is an integer number (48247139850).

Almost surely, 2^{3887715542400} is an apocalyptic number.

3887715542400 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 3887715542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6947588138400).

3887715542400 is an abundant number, since it is smaller than the sum of its proper divisors (10007460734400).

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

3887715542400 is a wasteful number, since it uses less digits than its factorization.

3887715542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223026 (or 223006 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 3887715542400 in words is "three trillion, eight hundred eighty-seven billion, seven hundred fifteen million, five hundred forty-two thousand, four hundred".