3672417450240 has 4320 divisors, whose sum is σ = 18189117112320. Its totient is φ = 689762304000.

The previous prime is 3672417450199. The next prime is 3672417450241. The reversal of 3672417450240 is 420547142763.

3672417450240 is a `hidden beast` number, since 3 + 6 + 72 + 4 + 1 + 74 + 502 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3672417450241) by changing a digit.

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 479 ways as a sum of consecutive naturals, for example, 51724189405 + ... + 51724189475.

It is an arithmetic number, because the mean of its divisors is an integer number (4210443776).

Almost surely, 2^{3672417450240} is an apocalyptic number.

3672417450240 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 3672417450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9094558556160).

3672417450240 is an abundant number, since it is smaller than the sum of its proper divisors (14516699662080).

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

3672417450240 is a wasteful number, since it uses less digits than its factorization.

3672417450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 3672417450240 in words is "three trillion, six hundred seventy-two billion, four hundred seventeen million, four hundred fifty thousand, two hundred forty".