3630437280 has 192 divisors, whose sum is σ = 13116902400. Its totient is φ = 936852480.

The previous prime is 3630437273. The next prime is 3630437287. The reversal of 3630437280 is 827340363.

It is an interprime number because it is at equal distance from previous prime (3630437273) and next prime (3630437287).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3630437287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120366 + ... + 147474.

It is an arithmetic number, because the mean of its divisors is an integer number (68317200).

Almost surely, 2^3630437280 is an apocalyptic number.

3630437280 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 3630437280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6558451200).

3630437280 is an abundant number, since it is smaller than the sum of its proper divisors (9486465120).

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

3630437280 is a wasteful number, since it uses less digits than its factorization.

3630437280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27164 (or 27150 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3630437280 is about 60253.1101271959. The cubic root of 3630437280 is about 1536.9260772842.

The spelling of 3630437280 in words is "three billion, six hundred thirty million, four hundred thirty-seven thousand, two hundred eighty".