3887654400 has 480 divisors, whose sum is σ = 16318241280. Its totient is φ = 888053760.

The previous prime is 3887654383. The next prime is 3887654411. The reversal of 3887654400 is 44567883.

3887654400 is a `hidden beast` number, since 38 + 8 + 76 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3887654400² = 30227713467678720000, which contains 22 as substring.

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

It is a congruent number.

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, 2418397 + ... + 2420003.

It is an arithmetic number, because the mean of its divisors is an integer number (33996336).

Almost surely, 2^3887654400 is an apocalyptic number.

3887654400 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 3887654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8159120640).

3887654400 is an abundant number, since it is smaller than the sum of its proper divisors (12430586880).

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

3887654400 is a wasteful number, since it uses less digits than its factorization.

3887654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3887654400 is about 62351.0577296007. The cubic root of 3887654400 is about 1572.3982441867.

The spelling of 3887654400 in words is "three billion, eight hundred eighty-seven million, six hundred fifty-four thousand, four hundred".