3722294774016 has 1728 divisors, whose sum is σ = 14531113228800. Its totient is φ = 920447483904.

The previous prime is 3722294773837. The next prime is 3722294774017. The reversal of 3722294774016 is 6104774922273.

3722294774016 is a `hidden beast` number, since 3 + 7 + 2 + 229 + 4 + 7 + 7 + 401 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is not an unprimeable number, because it can be changed into a prime (3722294774017) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38374172880 + ... + 38374172976.

Almost surely, 2^{3722294774016} is an apocalyptic number.

3722294774016 is a gapful number since it is divisible by the number (36) 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 3722294774016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7265556614400).

3722294774016 is an abundant number, since it is smaller than the sum of its proper divisors (10808818454784).

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

3722294774016 is an equidigital number, since it uses as much as digits as its factorization.

3722294774016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 3722294774016 in words is "three trillion, seven hundred twenty-two billion, two hundred ninety-four million, seven hundred seventy-four thousand, sixteen".