3904777554601 has 45 divisors (see below), whose sum is σ = 4998633035655. Its totient is φ = 3041379615120.

The previous prime is 3904777554599. The next prime is 3904777554683. The reversal of 3904777554601 is 1064557774093.

It is a happy number.

The square root of 3904777554601 is 1976051.

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., 1336694384025 + 2568083170576 = 1156155^2 + 1602524^2 .

It is not a de Polignac number, because 3904777554601 - 2¹ = 3904777554599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3904777558601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1673714031 + ... + 1673716363.

Almost surely, 2^{3904777554601} is an apocalyptic number.

3904777554601 is the 1976051-st square number.

3904777554601 is the 988026-th centered octagonal number.

It is an amenable number.

3904777554601 is a deficient number, since it is larger than the sum of its proper divisors (1093855481054).

3904777554601 is an frugal number, since it uses more digits than its factorization.

3904777554601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4724 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 58.

The spelling of 3904777554601 in words is "three trillion, nine hundred four billion, seven hundred seventy-seven million, five hundred fifty-four thousand, six hundred one".