3667087944 has 128 divisors (see below), whose sum is σ = 10989955200. Its totient is φ = 1126275840.

The previous prime is 3667087943. The next prime is 3667087973. The reversal of 3667087944 is 4497807663.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3667087943) 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, 2394459 + ... + 2395989.

It is an arithmetic number, because the mean of its divisors is an integer number (85859025).

Almost surely, 2^3667087944 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 3667087944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494977600).

3667087944 is an abundant number, since it is smaller than the sum of its proper divisors (7322867256).

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

3667087944 is a wasteful number, since it uses less digits than its factorization.

3667087944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 3667087944 is about 60556.4855651317. The cubic root of 3667087944 is about 1542.0807237184.

The spelling of 3667087944 in words is "three billion, six hundred sixty-seven million, eighty-seven thousand, nine hundred forty-four".