3674289600 has 210 divisors, whose sum is σ = 13506240704. Its totient is φ = 979776000.

The previous prime is 3674289599. The next prime is 3674289613. The reversal of 3674289600 is 69824763.

3674289600 is a `hidden beast` number, since 36 + 7 + 4 + 2 + 8 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 115425 + ... + 143775.

Almost surely, 2^3674289600 is an apocalyptic number.

3674289600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3674289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6753120352).

3674289600 is an abundant number, since it is smaller than the sum of its proper divisors (9831951104).

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

3674289600 is a wasteful number, since it uses less digits than its factorization.

3674289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28385 (or 28361 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3674289600 is about 60615.9187012785. The cubic root of 3674289600 is about 1543.0895417118.

It can be divided in two parts, 3674289 and 600, that added together give a square (3674889 = 1917²).

The spelling of 3674289600 in words is "three billion, six hundred seventy-four million, two hundred eighty-nine thousand, six hundred".