3667121874 has 144 divisors (see below), whose sum is σ = 9129878784. Its totient is φ = 1061424000.

The previous prime is 3667121851. The next prime is 3667121879. The reversal of 3667121874 is 4781217663.

3667121874 is a `hidden beast` number, since 366 + 7 + 1 + 218 + 74 = 666.

It is not an unprimeable number, because it can be changed into a prime (3667121879) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3488649 + ... + 3489699.

It is an arithmetic number, because the mean of its divisors is an integer number (63401936).

Almost surely, 2^3667121874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3667121874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4564939392).

3667121874 is an abundant number, since it is smaller than the sum of its proper divisors (5462756910).

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

3667121874 is a wasteful number, since it uses less digits than its factorization.

3667121874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1137 counting only the distinct ones).

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

The square root of 3667121874 is about 60556.7657161444. The cubic root of 3667121874 is about 1542.0854797754.

The spelling of 3667121874 in words is "three billion, six hundred sixty-seven million, one hundred twenty-one thousand, eight hundred seventy-four".