3685886400 has 336 divisors, whose sum is σ = 13925767424. Its totient is φ = 836075520.

The previous prime is 3685886389. The next prime is 3685886411. The reversal of 3685886400 is 46885863.

It is an interprime number because it is at equal distance from previous prime (3685886389) and next prime (3685886411).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3685886400.

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, 5476464 + ... + 5477136.

Almost surely, 2^3685886400 is an apocalyptic number.

3685886400 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 3685886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6962883712).

3685886400 is an abundant number, since it is smaller than the sum of its proper divisors (10239881024).

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

3685886400 is a wasteful number, since it uses less digits than its factorization.

3685886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 3685886400 is about 60711.5013815340. The cubic root of 3685886400 is about 1544.7112708119.

The spelling of 3685886400 in words is "three billion, six hundred eighty-five million, eight hundred eighty-six thousand, four hundred".