3634642440 has 288 divisors, whose sum is σ = 13956546240. Its totient is φ = 813196800.

The previous prime is 3634642421. The next prime is 3634642441. The reversal of 3634642440 is 442464363.

3634642440 is a `hidden beast` number, since 3 + 6 + 3 + 4 + 642 + 4 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3634642395 and 3634642404.

It is not an unprimeable number, because it can be changed into a prime (3634642441) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 666525 + ... + 671955.

It is an arithmetic number, because the mean of its divisors is an integer number (48460230).

Almost surely, 2^3634642440 is an apocalyptic number.

3634642440 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 3634642440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6978273120).

3634642440 is an abundant number, since it is smaller than the sum of its proper divisors (10321903800).

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

3634642440 is a wasteful number, since it uses less digits than its factorization.

3634642440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5485 (or 5465 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The square root of 3634642440 is about 60287.9958200635. The cubic root of 3634642440 is about 1537.5192589299.

The spelling of 3634642440 in words is "three billion, six hundred thirty-four million, six hundred forty-two thousand, four hundred forty".