3986377200 has 240 divisors, whose sum is σ = 15280515040. Its totient is φ = 981227520.

The previous prime is 3986377193. The next prime is 3986377217. The reversal of 3986377200 is 27736893.

It is a happy number.

3986377200 is a `hidden beast` number, since 3 + 9 + 8 + 637 + 7 + 2 + 0 + 0 = 666.

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 (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, 126204 + ... + 154596.

Almost surely, 2^3986377200 is an apocalyptic number.

3986377200 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 3986377200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7640257520).

3986377200 is an abundant number, since it is smaller than the sum of its proper divisors (11294137840).

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

3986377200 is a wasteful number, since it uses less digits than its factorization.

3986377200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28433 (or 28416 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 3986377200 is about 63137.7636601107. The cubic root of 3986377200 is about 1585.5969317305.

The spelling of 3986377200 in words is "three billion, nine hundred eighty-six million, three hundred seventy-seven thousand, two hundred".