3687061638540 has 384 divisors, whose sum is σ = 12103395010560. Its totient is φ = 821307801600.

The previous prime is 3687061638497. The next prime is 3687061638647. The reversal of 3687061638540 is 458361607863.

It is a super-2 number, since 2×3687061638540² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1616422200 + ... + 1616424480.

It is an arithmetic number, because the mean of its divisors is an integer number (31519257840).

Almost surely, 2^{3687061638540} is an apocalyptic number.

3687061638540 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 3687061638540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6051697505280).

3687061638540 is an abundant number, since it is smaller than the sum of its proper divisors (8416333372020).

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

3687061638540 is a wasteful number, since it uses less digits than its factorization.

3687061638540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993 (or 2991 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 3687061638540 in words is "three trillion, six hundred eighty-seven billion, sixty-one million, six hundred thirty-eight thousand, five hundred forty".