3632068440 has 384 divisors, whose sum is σ = 15850598400. Its totient is φ = 696591360.

The previous prime is 3632068423. The next prime is 3632068457. The reversal of 3632068440 is 448602363.

It is a happy number.

3632068440 is a `hidden beast` number, since 3 + 6 + 3 + 206 + 8 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (3632068423) and next prime (3632068457).

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 = 3632068395 and 3632068404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 355321 + ... + 365399.

It is an arithmetic number, because the mean of its divisors is an integer number (41277600).

Almost surely, 2^3632068440 is an apocalyptic number.

3632068440 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 3632068440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7925299200).

3632068440 is an abundant number, since it is smaller than the sum of its proper divisors (12218529960).

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

3632068440 is a wasteful number, since it uses less digits than its factorization.

3632068440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10127 (or 10120 counting only the distinct ones).

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

The square root of 3632068440 is about 60266.6445058956. The cubic root of 3632068440 is about 1537.1562237540.

The spelling of 3632068440 in words is "three billion, six hundred thirty-two million, sixty-eight thousand, four hundred forty".