3937552126368 has 192 divisors, whose sum is σ = 12214310879232. Its totient is φ = 1086884720640.

The previous prime is 3937552126357. The next prime is 3937552126379. The reversal of 3937552126368 is 8636212557393.

It is an interprime number because it is at equal distance from previous prime (3937552126357) and next prime (3937552126379).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12194005 + ... + 12512747.

It is an arithmetic number, because the mean of its divisors is an integer number (63616202496).

Almost surely, 2^{3937552126368} 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 3937552126368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6107155439616).

3937552126368 is an abundant number, since it is smaller than the sum of its proper divisors (8276758752864).

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

3937552126368 is a wasteful number, since it uses less digits than its factorization.

3937552126368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319387 (or 319379 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 60.

The spelling of 3937552126368 in words is "three trillion, nine hundred thirty-seven billion, five hundred fifty-two million, one hundred twenty-six thousand, three hundred sixty-eight".