3724281888768 has 540 divisors, whose sum is σ = 12854404187352. Its totient is φ = 1035247288320.

The previous prime is 3724281888763. The next prime is 3724281888773. The reversal of 3724281888768 is 8678881824273.

3724281888768 is a `hidden beast` number, since 372 + 4 + 2 + 8 + 188 + 8 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3724281888763) and next prime (3724281888773).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3724281888696 and 3724281888705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3724281888763) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 267330763 + ... + 267344693.

Almost surely, 2^{3724281888768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3724281888768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6427202093676).

3724281888768 is an abundant number, since it is smaller than the sum of its proper divisors (9130122298584).

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

3724281888768 is a wasteful number, since it uses less digits than its factorization.

3724281888768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14016 (or 13980 counting only the distinct ones).

The product of its digits is 462422016, while the sum is 72.

The spelling of 3724281888768 in words is "three trillion, seven hundred twenty-four billion, two hundred eighty-one million, eight hundred eighty-eight thousand, seven hundred sixty-eight".