3674716128 has 288 divisors, whose sum is σ = 11394583200. Its totient is φ = 1119744000.

The previous prime is 3674716093. The next prime is 3674716163. The reversal of 3674716128 is 8216174763.

It is an interprime number because it is at equal distance from previous prime (3674716093) and next prime (3674716163).

It is a tau number, because it is divible by the number of its divisors (288).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33712938 + ... + 33713046.

It is an arithmetic number, because the mean of its divisors is an integer number (39564525).

Almost surely, 2^3674716128 is an apocalyptic number.

3674716128 is a gapful number since it is divisible by the number (38) 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 3674716128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5697291600).

3674716128 is an abundant number, since it is smaller than the sum of its proper divisors (7719867072).

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

3674716128 is a wasteful number, since it uses less digits than its factorization.

3674716128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 295 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 3674716128 is about 60619.4368829009. The cubic root of 3674716128 is about 1543.1492489842.

The spelling of 3674716128 in words is "three billion, six hundred seventy-four million, seven hundred sixteen thousand, one hundred twenty-eight".