3674556144 has 320 divisors, whose sum is σ = 12457774080. Its totient is φ = 1015372800.

The previous prime is 3674556131. The next prime is 3674556169. The reversal of 3674556144 is 4416554763.

3674556144 is a `hidden beast` number, since 3 + 6 + 7 + 45 + 561 + 44 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3674556144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16187359 + ... + 16187585.

It is an arithmetic number, because the mean of its divisors is an integer number (38930544).

Almost surely, 2^3674556144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3674556144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6228887040).

3674556144 is an abundant number, since it is smaller than the sum of its proper divisors (8783217936).

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

3674556144 is a wasteful number, since it uses less digits than its factorization.

3674556144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 393 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 3674556144 is about 60618.1172917800. The cubic root of 3674556144 is about 1543.1268542591.

The spelling of 3674556144 in words is "three billion, six hundred seventy-four million, five hundred fifty-six thousand, one hundred forty-four".