3651972148608 has 256 divisors, whose sum is σ = 11302122240000. Its totient is φ = 1023289712640.

The previous prime is 3651972148579. The next prime is 3651972148661. The reversal of 3651972148608 is 8068412791563.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31582738 + ... + 31698158.

It is an arithmetic number, because the mean of its divisors is an integer number (44148915000).

It is a 1-persistent number, because it is pandigital, but 2⋅3651972148608 = 7303944297216 is not.

Almost surely, 2^{3651972148608} 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 3651972148608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5651061120000).

3651972148608 is an abundant number, since it is smaller than the sum of its proper divisors (7650150091392).

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

3651972148608 is a wasteful number, since it uses less digits than its factorization.

3651972148608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115673 (or 115661 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 3651972148608 in words is "three trillion, six hundred fifty-one billion, nine hundred seventy-two million, one hundred forty-eight thousand, six hundred eight".