1386745200 has 360 divisors, whose sum is σ = 5127127200. Its totient is φ = 346429440.

The previous prime is 1386745127. The next prime is 1386745249. The reversal of 1386745200 is 25476831.

1386745200 is a `hidden beast` number, since 1 + 386 + 74 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 3862621 + ... + 3862979.

It is an arithmetic number, because the mean of its divisors is an integer number (14242020).

Almost surely, 2^1386745200 is an apocalyptic number.

1386745200 is a gapful number since it is divisible by the number (10) 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 1386745200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563563600).

1386745200 is an abundant number, since it is smaller than the sum of its proper divisors (3740382000).

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

1386745200 is a wasteful number, since it uses less digits than its factorization.

1386745200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1386745200 is about 37239.0279142730. The cubic root of 1386745200 is about 1115.1472654999.

It can be divided in two parts, 1386745 and 200, that added together give a triangular number (1386945 = T₁₆₆₅).

The spelling of 1386745200 in words is "one billion, three hundred eighty-six million, seven hundred forty-five thousand, two hundred".