3642587280 has 640 divisors, whose sum is σ = 14656204800. Its totient is φ = 824795136.

The previous prime is 3642587269. The next prime is 3642587287. The reversal of 3642587280 is 827852463.

3642587280 is a `hidden beast` number, since 3 + 6 + 42 + 587 + 28 + 0 = 666.

It is a super-3 number, since 3×3642587280³ (a number of 30 digits) contains 333 as substring.

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 (3642587287) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16046527 + ... + 16046753.

It is an arithmetic number, because the mean of its divisors is an integer number (22900320).

Almost surely, 2^3642587280 is an apocalyptic number.

3642587280 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 3642587280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7328102400).

3642587280 is an abundant number, since it is smaller than the sum of its proper divisors (11013617520).

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

3642587280 is a wasteful number, since it uses less digits than its factorization.

3642587280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3642587280 is about 60353.8505813838. The cubic root of 3642587280 is about 1538.6387138360.

The spelling of 3642587280 in words is "three billion, six hundred forty-two million, five hundred eighty-seven thousand, two hundred eighty".