3774484760400 has 90 divisors (see below), whose sum is σ = 13098510599070. Its totient is φ = 1006529268480.

The previous prime is 3774484760393. The next prime is 3774484760503. The reversal of 3774484760400 is 40674844773.

It is a happy number.

3774484760400 is a `hidden beast` number, since 37 + 74 + 4 + 84 + 7 + 60 + 400 = 666.

3774484760400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 121279455504 + 3653205304896 = 348252^2 + 1911336^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 524230395 + ... + 524237594.

Almost surely, 2^{3774484760400} is an apocalyptic number.

3774484760400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3774484760400 is an abundant number, since it is smaller than the sum of its proper divisors (9324025838670).

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

3774484760400 is a wasteful number, since it uses less digits than its factorization.

3774484760400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048468013 (or 1048467999 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 54.

The spelling of 3774484760400 in words is "three trillion, seven hundred seventy-four billion, four hundred eighty-four million, seven hundred sixty thousand, four hundred".