3666637920 has 384 divisors, whose sum is σ = 13316244480. Its totient is φ = 839393280.

The previous prime is 3666637903. The next prime is 3666637921. The reversal of 3666637920 is 297366663.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3666637920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3666637921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13236822 + ... + 13237098.

It is an arithmetic number, because the mean of its divisors is an integer number (34677720).

Almost surely, 2^3666637920 is an apocalyptic number.

3666637920 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 3666637920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6658122240).

3666637920 is an abundant number, since it is smaller than the sum of its proper divisors (9649606560).

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

3666637920 is a wasteful number, since it uses less digits than its factorization.

3666637920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 48.

The square root of 3666637920 is about 60552.7697136968. The cubic root of 3666637920 is about 1542.0176399004.

The spelling of 3666637920 in words is "three billion, six hundred sixty-six million, six hundred thirty-seven thousand, nine hundred twenty".