3681501116748 has 288 divisors, whose sum is σ = 10846247360256. Its totient is φ = 963306183168.

The previous prime is 3681501116693. The next prime is 3681501116753. The reversal of 3681501116748 is 8476111051863.

It is a super-2 number, since 2×3681501116748² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3681501116748.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 691618815 + ... + 691624137.

It is an arithmetic number, because the mean of its divisors is an integer number (37660581112).

Almost surely, 2^{3681501116748} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3681501116748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5423123680128).

3681501116748 is an abundant number, since it is smaller than the sum of its proper divisors (7164746243508).

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

3681501116748 is a wasteful number, since it uses less digits than its factorization.

3681501116748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6053 (or 6044 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 3681501116748 in words is "three trillion, six hundred eighty-one billion, five hundred one million, one hundred sixteen thousand, seven hundred forty-eight".