3840717732864 has 176 divisors, whose sum is σ = 10295430518688. Its totient is φ = 1272941641728.

The previous prime is 3840717732851. The next prime is 3840717732869. The reversal of 3840717732864 is 4682377170483.

It is a super-2 number, since 2×3840717732864² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3840717732798 and 3840717732807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3840717732869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411339204 + ... + 411348540.

Almost surely, 2^{3840717732864} 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 3840717732864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5147715259344).

3840717732864 is an abundant number, since it is smaller than the sum of its proper divisors (6454712785824).

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

3840717732864 is a wasteful number, since it uses less digits than its factorization.

3840717732864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10110 (or 10092 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 60.

The spelling of 3840717732864 in words is "three trillion, eight hundred forty billion, seven hundred seventeen million, seven hundred thirty-two thousand, eight hundred sixty-four".