3674112000 has 512 divisors, whose sum is σ = 13740330240. Its totient is φ = 865075200.

The previous prime is 3674111999. The next prime is 3674112007. The reversal of 3674112000 is 2114763.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3674112007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 159743989 + ... + 159744011.

Almost surely, 2^3674112000 is an apocalyptic number.

3674112000 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 3674112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6870165120).

3674112000 is an abundant number, since it is smaller than the sum of its proper divisors (10066218240).

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

3674112000 is an equidigital number, since it uses as much as digits as its factorization.

3674112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 3674112000 is about 60614.4537218641. The cubic root of 3674112000 is about 1543.0646791172.

Adding to 3674112000 its reverse (2114763), we get a palindrome (3676226763).

The spelling of 3674112000 in words is "three billion, six hundred seventy-four million, one hundred twelve thousand".