3722943722400 has 432 divisors, whose sum is σ = 15007594702464. Its totient is φ = 850724259840.

The previous prime is 3722943722387. The next prime is 3722943722411. The reversal of 3722943722400 is 42273492273.

3722943722400 is a `hidden beast` number, since 37 + 2 + 2 + 9 + 4 + 372 + 240 + 0 = 666.

3722943722400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 238535397 + ... + 238551003.

It is an arithmetic number, because the mean of its divisors is an integer number (34739802552).

Almost surely, 2^{3722943722400} is an apocalyptic number.

3722943722400 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 3722943722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7503797351232).

3722943722400 is an abundant number, since it is smaller than the sum of its proper divisors (11284650980064).

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

3722943722400 is a wasteful number, since it uses less digits than its factorization.

3722943722400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20373 (or 20357 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 3722943722400 in words is "three trillion, seven hundred twenty-two billion, nine hundred forty-three million, seven hundred twenty-two thousand, four hundred".