3667747920 has 80 divisors (see below), whose sum is σ = 11410406592. Its totient is φ = 974592000.

The previous prime is 3667747913. The next prime is 3667747927. The reversal of 3667747920 is 297477663.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3667747913) and next prime (3667747927).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3667747927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40920 + ... + 94920.

Almost surely, 2^3667747920 is an apocalyptic number.

3667747920 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 3667747920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5705203296).

3667747920 is an abundant number, since it is smaller than the sum of its proper divisors (7742658672).

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

3667747920 is a wasteful number, since it uses less digits than its factorization.

3667747920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54300 (or 54294 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 51.

The square root of 3667747920 is about 60561.9345794039. The cubic root of 3667747920 is about 1542.1732290191.

The spelling of 3667747920 in words is "three billion, six hundred sixty-seven million, seven hundred forty-seven thousand, nine hundred twenty".