3774467954401 has 27 divisors (see below), whose sum is σ = 3882113499537. Its totient is φ = 3669791887080.

The previous prime is 3774467954371. The next prime is 3774467954407. The reversal of 3774467954401 is 1044597644773.

The square root of 3774467954401 is 1942799.

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

It is not a de Polignac number, because 3774467954401 - 2²¹ = 3774465857249 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3774467954401.

It is not an unprimeable number, because it can be changed into a prime (3774467954407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13927925896 + ... + 13927926166.

Almost surely, 2^{3774467954401} is an apocalyptic number.

3774467954401 is the 1942799-th square number.

3774467954401 is the 971400-th centered octagonal number.

It is an amenable number.

3774467954401 is a deficient number, since it is larger than the sum of its proper divisors (107645545136).

3774467954401 is an frugal number, since it uses more digits than its factorization.

3774467954401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 61.

The spelling of 3774467954401 in words is "three trillion, seven hundred seventy-four billion, four hundred sixty-seven million, nine hundred fifty-four thousand, four hundred one".