3645500040 has 512 divisors, whose sum is σ = 15281280000. Its totient is φ = 768144384.

The previous prime is 3645500039. The next prime is 3645500081. The reversal of 3645500040 is 400055463.

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 = 3645499977 and 3645500013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4815342 + ... + 4816098.

It is an arithmetic number, because the mean of its divisors is an integer number (29846250).

Almost surely, 2^3645500040 is an apocalyptic number.

3645500040 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 3645500040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7640640000).

3645500040 is an abundant number, since it is smaller than the sum of its proper divisors (11635779960).

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

3645500040 is a wasteful number, since it uses less digits than its factorization.

3645500040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3645500040 is about 60377.9764483706. The cubic root of 3645500040 is about 1539.0487238012.

The spelling of 3645500040 in words is "three billion, six hundred forty-five million, five hundred thousand, forty".