3630515040 has 384 divisors, whose sum is σ = 13499136000. Its totient is φ = 909342720.

The previous prime is 3630515023. The next prime is 3630515081. The reversal of 3630515040 is 405150363.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3630514995 and 3630515013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6060661 + ... + 6061259.

It is an arithmetic number, because the mean of its divisors is an integer number (35154000).

Almost surely, 2^3630515040 is an apocalyptic number.

3630515040 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 3630515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749568000).

3630515040 is an abundant number, since it is smaller than the sum of its proper divisors (9868620960).

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

3630515040 is a wasteful number, since it uses less digits than its factorization.

3630515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 3630515040 is about 60253.7554016345. The cubic root of 3630515040 is about 1536.9370502983.

The spelling of 3630515040 in words is "three billion, six hundred thirty million, five hundred fifteen thousand, forty".