3973547877376 has 297 divisors, whose sum is σ = 10169006912337. Its totient is φ = 1546221895680.

The previous prime is 3973547877329. The next prime is 3973547877401. The reversal of 3973547877376 is 6737787453793.

The square root of 3973547877376 is 1993376.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3497558270976 + 475989606400 = 1870176^2 + 689920^2 .

It is a super-4 number, since 4×3973547877376⁴ (a number of 51 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4911678060 + ... + 4911678868.

Almost surely, 2^{3973547877376} is an apocalyptic number.

3973547877376 is the 1993376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3973547877376

3973547877376 is an abundant number, since it is smaller than the sum of its proper divisors (6195459034961).

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

3973547877376 is an frugal number, since it uses more digits than its factorization.

3973547877376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 829 counting only the distinct ones).

The product of its digits is 3920736960, while the sum is 76.

The spelling of 3973547877376 in words is "three trillion, nine hundred seventy-three billion, five hundred forty-seven million, eight hundred seventy-seven thousand, three hundred seventy-six".