3667427040 has 192 divisors, whose sum is σ = 11890996992. Its totient is φ = 949555200.

The previous prime is 3667427021. The next prime is 3667427077. The reversal of 3667427040 is 407247663.

It is a self number, because there is not a number n which added to its sum of digits gives 3667427040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6513799 + ... + 6514361.

It is an arithmetic number, because the mean of its divisors is an integer number (61932276).

Almost surely, 2^3667427040 is an apocalyptic number.

3667427040 is a gapful number since it is divisible by the number (30) 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 3667427040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5945498496).

3667427040 is an abundant number, since it is smaller than the sum of its proper divisors (8223569952).

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

3667427040 is a wasteful number, since it uses less digits than its factorization.

3667427040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The square root of 3667427040 is about 60559.2853326391. The cubic root of 3667427040 is about 1542.1282543746.

The spelling of 3667427040 in words is "three billion, six hundred sixty-seven million, four hundred twenty-seven thousand, forty".