3657080241360 has 1920 divisors, whose sum is σ = 16378951680000. Its totient is φ = 724591816704.

The previous prime is 3657080241359. The next prime is 3657080241371. The reversal of 3657080241360 is 631420807563.

3657080241360 is a `hidden beast` number, since 3 + 6 + 570 + 8 + 0 + 2 + 4 + 13 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10186852861 + ... + 10186853219.

It is an arithmetic number, because the mean of its divisors is an integer number (8530704000).

Almost surely, 2^{3657080241360} is an apocalyptic number.

3657080241360 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 3657080241360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8189475840000).

3657080241360 is an abundant number, since it is smaller than the sum of its proper divisors (12721871438640).

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

3657080241360 is a wasteful number, since it uses less digits than its factorization.

3657080241360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 3657080241360 in words is "three trillion, six hundred fifty-seven billion, eighty million, two hundred forty-one thousand, three hundred sixty".