3891686400 has 792 divisors, whose sum is σ = 16894791680. Its totient is φ = 836075520.

The previous prime is 3891686399. The next prime is 3891686423. The reversal of 3891686400 is 46861983.

3891686400 is a `hidden beast` number, since 3 + 89 + 168 + 6 + 400 = 666.

3891686400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30643137 + ... + 30643263.

Almost surely, 2^3891686400 is an apocalyptic number.

3891686400 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 3891686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8447395840).

3891686400 is an abundant number, since it is smaller than the sum of its proper divisors (13003105280).

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

3891686400 is a wasteful number, since it uses less digits than its factorization.

3891686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3891686400 is about 62383.3824026880. The cubic root of 3891686400 is about 1572.9416497608.

It can be divided in two parts, 38916 and 86400, that added together give a square (125316 = 354²).

The spelling of 3891686400 in words is "three billion, eight hundred ninety-one million, six hundred eighty-six thousand, four hundred".