3650905440 has 768 divisors, whose sum is σ = 16216381440. Its totient is φ = 746496000.

The previous prime is 3650905409. The next prime is 3650905441. The reversal of 3650905440 is 445090563.

It is a happy number.

It is a super-2 number, since 2×3650905440² = 26658221063643187200, which contains 22 as substring.

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 = 3650905395 and 3650905404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3650905441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14545315 + ... + 14545565.

It is an arithmetic number, because the mean of its divisors is an integer number (21115080).

Almost surely, 2^3650905440 is an apocalyptic number.

3650905440 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 3650905440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8108190720).

3650905440 is an abundant number, since it is smaller than the sum of its proper divisors (12565476000).

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

3650905440 is a wasteful number, since it uses less digits than its factorization.

3650905440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3650905440 is about 60422.7228780696. The cubic root of 3650905440 is about 1539.8090278734.

The spelling of 3650905440 in words is "three billion, six hundred fifty million, nine hundred five thousand, four hundred forty".