3674386128 has 160 divisors (see below), whose sum is σ = 11238169600. Its totient is φ = 1033845120.

The previous prime is 3674386127. The next prime is 3674386139. The reversal of 3674386128 is 8216834763.

It is a super-2 number, since 2×3674386128² = 27002226835277664768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3674386127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1101423 + ... + 1104753.

It is an arithmetic number, because the mean of its divisors is an integer number (70238560).

Almost surely, 2^3674386128 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 3674386128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5619084800).

3674386128 is an abundant number, since it is smaller than the sum of its proper divisors (7563783472).

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

3674386128 is a wasteful number, since it uses less digits than its factorization.

3674386128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430 (or 3410 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 3674386128 is about 60616.7149225360. The cubic root of 3674386128 is about 1543.1030545319.

The spelling of 3674386128 in words is "three billion, six hundred seventy-four million, three hundred eighty-six thousand, one hundred twenty-eight".