3663397440 has 168 divisors, whose sum is σ = 12686614200. Its totient is φ = 970235904.

The previous prime is 3663397411. The next prime is 3663397447. The reversal of 3663397440 is 447933663.

3663397440 is a `hidden beast` number, since 3 + 6 + 633 + 9 + 7 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 367718976 + 3295678464 = 19176^2 + 57408^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3663397447) 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, 424852 + ... + 433388.

Almost surely, 2^3663397440 is an apocalyptic number.

3663397440 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 3663397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6343307100).

3663397440 is an abundant number, since it is smaller than the sum of its proper divisors (9023216760).

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

3663397440 is a wasteful number, since it uses less digits than its factorization.

3663397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8709 (or 8696 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The square root of 3663397440 is about 60526.0063113369. The cubic root of 3663397440 is about 1541.5632408759.

The spelling of 3663397440 in words is "three billion, six hundred sixty-three million, three hundred ninety-seven thousand, four hundred forty".