3687818437296 has 640 divisors, whose sum is σ = 12539197440000. Its totient is φ = 1015917686784.

The previous prime is 3687818437291. The next prime is 3687818437301. The reversal of 3687818437296 is 6927348187863.

3687818437296 is a `hidden beast` number, since 3 + 6 + 8 + 78 + 184 + 372 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3687818437291) and next prime (3687818437301).

It is a super-2 number, since 2×3687818437296² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3687818437291) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6156624805 + ... + 6156625403.

It is an arithmetic number, because the mean of its divisors is an integer number (19592496000).

Almost surely, 2^{3687818437296} is an apocalyptic number.

3687818437296 is a gapful number since it is divisible by the number (36) 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 3687818437296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6269598720000).

3687818437296 is an abundant number, since it is smaller than the sum of its proper divisors (8851379002704).

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

3687818437296 is a wasteful number, since it uses less digits than its factorization.

3687818437296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1186 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 3687818437296 in words is "three trillion, six hundred eighty-seven billion, eight hundred eighteen million, four hundred thirty-seven thousand, two hundred ninety-six".