3685936800000 has 1296 divisors, whose sum is σ = 15367149814464. Its totient is φ = 777369600000.

The previous prime is 3685936799953. The next prime is 3685936800011. The reversal of 3685936800000 is 86395863.

It is a super-2 number, since 2×3685936800000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1528798795 + ... + 1528801205.

It is an arithmetic number, because the mean of its divisors is an integer number (11857368684).

Almost surely, 2^{3685936800000} is an apocalyptic number.

3685936800000 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 3685936800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7683574907232).

3685936800000 is an abundant number, since it is smaller than the sum of its proper divisors (11681213014464).

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

3685936800000 is an equidigital number, since it uses as much as digits as its factorization.

3685936800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 3685936800000 in words is "three trillion, six hundred eighty-five billion, nine hundred thirty-six million, eight hundred thousand".