3630264480 has 144 divisors (see below), whose sum is σ = 12847240224. Its totient is φ = 968060160.

The previous prime is 3630264461. The next prime is 3630264493. The reversal of 3630264480 is 844620363.

It is a happy number.

3630264480 is a `hidden beast` number, since 3 + 6 + 3 + 0 + 2 + 644 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7806 + ... + 85565.

It is an arithmetic number, because the mean of its divisors is an integer number (89216946).

Almost surely, 2^3630264480 is an apocalyptic number.

3630264480 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 3630264480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6423620112).

3630264480 is an abundant number, since it is smaller than the sum of its proper divisors (9216975744).

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

3630264480 is an equidigital number, since it uses as much as digits as its factorization.

3630264480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93401 (or 93381 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3630264480 is about 60251.6761592572. The cubic root of 3630264480 is about 1536.9016922474.

The spelling of 3630264480 in words is "three billion, six hundred thirty million, two hundred sixty-four thousand, four hundred eighty".