3722266593360 has 560 divisors, whose sum is σ = 14852880319104. Its totient is φ = 849440037888.

The previous prime is 3722266593341. The next prime is 3722266593407. The reversal of 3722266593360 is 633956622273.

It is a happy number.

3722266593360 is a `hidden beast` number, since 3 + 7 + 2 + 226 + 6 + 59 + 3 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3722266593297 and 3722266593306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 266573739 + ... + 266587701.

Almost surely, 2^{3722266593360} is an apocalyptic number.

3722266593360 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 3722266593360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7426440159552).

3722266593360 is an abundant number, since it is smaller than the sum of its proper divisors (11130613725744).

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

3722266593360 is a wasteful number, since it uses less digits than its factorization.

3722266593360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14654 (or 14633 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 54.

The spelling of 3722266593360 in words is "three trillion, seven hundred twenty-two billion, two hundred sixty-six million, five hundred ninety-three thousand, three hundred sixty".