3741279993792 has 224 divisors, whose sum is σ = 12000405158400. Its totient is φ = 1133545881600.

The previous prime is 3741279993791. The next prime is 3741279993793. The reversal of 3741279993792 is 2973999721473.

3741279993792 is a `hidden beast` number, since 3 + 7 + 412 + 7 + 9 + 99 + 37 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (3741279993791) and next prime (3741279993793).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3741279993792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3741279993791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177124992 + ... + 177146112.

Almost surely, 2^{3741279993792} is an apocalyptic number.

3741279993792 is a gapful number since it is divisible by the number (32) 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 3741279993792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6000202579200).

3741279993792 is an abundant number, since it is smaller than the sum of its proper divisors (8259125164608).

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

3741279993792 is a wasteful number, since it uses less digits than its factorization.

3741279993792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30472 (or 30456 counting only the distinct ones).

The product of its digits is 324060912, while the sum is 72.

The spelling of 3741279993792 in words is "three trillion, seven hundred forty-one billion, two hundred seventy-nine million, nine hundred ninety-three thousand, seven hundred ninety-two".