3722312880000 has 2880 divisors, whose sum is σ = 16556108849280. Its totient is φ = 824878080000.

The previous prime is 3722312879851. The next prime is 3722312880029. The reversal of 3722312880000 is 882132273.

It is a happy number.

3722312880000 is a `hidden beast` number, since 372 + 2 + 3 + 1 + 288 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×3722312880000² (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 an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 36138959949 + ... + 36138960051.

It is an arithmetic number, because the mean of its divisors is an integer number (5748648906).

Almost surely, 2^{3722312880000} is an apocalyptic number.

3722312880000 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 3722312880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8278054424640).

3722312880000 is an abundant number, since it is smaller than the sum of its proper divisors (12833795969280).

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

3722312880000 is a wasteful number, since it uses less digits than its factorization.

3722312880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 3722312880000 in words is "three trillion, seven hundred twenty-two billion, three hundred twelve million, eight hundred eighty thousand".