3978824100601 has 9 divisors (see below), whose sum is σ = 4628444277999. Its totient is φ = 3410408689464.

The previous prime is 3978824100599. The next prime is 3978824100673. The reversal of 3978824100601 is 1060014288793.

The square root of 3978824100601 is 1994699.

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., 3529757925225 + 449066175376 = 1878765^2 + 670124^2 .

It is not a de Polignac number, because 3978824100601 - 2¹ = 3978824100599 is a prime.

It is a super-2 number, since 2×3978824100601² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3978824100101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13820415 + ... + 14105371.

Almost surely, 2^{3978824100601} is an apocalyptic number.

3978824100601 is the 1994699-th square number.

3978824100601 is the 997350-th centered octagonal number.

It is an amenable number.

3978824100601 is a deficient number, since it is larger than the sum of its proper divisors (649620177398).

3978824100601 is an frugal number, since it uses more digits than its factorization.

3978824100601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569928 (or 284964 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

Multiplying 3978824100601 by its sum of digits (49), we get a square (194962380929449 = 13962893²).

3978824100601 divided by its sum of digits (49) gives a square (81200491849 = 284957²).

The spelling of 3978824100601 in words is "three trillion, nine hundred seventy-eight billion, eight hundred twenty-four million, one hundred thousand, six hundred one".