3721419127296 has 1600 divisors, whose sum is σ = 13259904311808. Its totient is φ = 1028516216832.

The previous prime is 3721419127277. The next prime is 3721419127319. The reversal of 3721419127296 is 6927219141273.

3721419127296 is a `hidden beast` number, since 3 + 7 + 214 + 19 + 127 + 296 = 666.

3721419127296 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22830792111 + ... + 22830792273.

Almost surely, 2^{3721419127296} is an apocalyptic number.

3721419127296 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 3721419127296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6629952155904).

3721419127296 is an abundant number, since it is smaller than the sum of its proper divisors (9538485184512).

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

3721419127296 is a wasteful number, since it uses less digits than its factorization.

3721419127296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 298 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The spelling of 3721419127296 in words is "three trillion, seven hundred twenty-one billion, four hundred nineteen million, one hundred twenty-seven thousand, two hundred ninety-six".