3651903360 has 768 divisors, whose sum is σ = 15907104000. Its totient is φ = 787304448.

The previous prime is 3651903349. The next prime is 3651903371. The reversal of 3651903360 is 633091563.

It is an interprime number because it is at equal distance from previous prime (3651903349) and next prime (3651903371).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16087567 + ... + 16087793.

It is an arithmetic number, because the mean of its divisors is an integer number (20712375).

Almost surely, 2^3651903360 is an apocalyptic number.

3651903360 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 3651903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7953552000).

3651903360 is an abundant number, since it is smaller than the sum of its proper divisors (12255200640).

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

3651903360 is a wasteful number, since it uses less digits than its factorization.

3651903360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 3651903360 is about 60430.9801343649. The cubic root of 3651903360 is about 1539.9493096263.

The spelling of 3651903360 in words is "three billion, six hundred fifty-one million, nine hundred three thousand, three hundred sixty".