3667479408 has 120 divisors (see below), whose sum is σ = 10854305280. Its totient is φ = 1152766080.

The previous prime is 3667479407. The next prime is 3667479443. The reversal of 3667479408 is 8049747663.

It is a happy number.

3667479408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3667479407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 607123 + ... + 613133.

It is an arithmetic number, because the mean of its divisors is an integer number (90452544).

Almost surely, 2^3667479408 is an apocalyptic number.

3667479408 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 3667479408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5427152640).

3667479408 is an abundant number, since it is smaller than the sum of its proper divisors (7186825872).

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

3667479408 is a wasteful number, since it uses less digits than its factorization.

3667479408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6267 (or 6258 counting only the distinct ones).

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

The square root of 3667479408 is about 60559.7177007951. The cubic root of 3667479408 is about 1542.1355944695.

The spelling of 3667479408 in words is "three billion, six hundred sixty-seven million, four hundred seventy-nine thousand, four hundred eight".