3722526720000 has 2160 divisors, whose sum is σ = 16096981092192. Its totient is φ = 849346560000.

The previous prime is 3722526719959. The next prime is 3722526720001. The reversal of 3722526720000 is 276252273.

3722526720000 is a `hidden beast` number, since 372 + 2 + 5 + 267 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×3722526720000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3722526720001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 218972159992 + ... + 218972160008.

Almost surely, 2^{3722526720000} is an apocalyptic number.

3722526720000 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 3722526720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8048490546096).

3722526720000 is an abundant number, since it is smaller than the sum of its proper divisors (12374454372192).

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

3722526720000 is an frugal number, since it uses more digits than its factorization.

3722526720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 3722526720000 in words is "three trillion, seven hundred twenty-two billion, five hundred twenty-six million, seven hundred twenty thousand".