3865793323392 has 3072 divisors, whose sum is σ = 16628226048000. Its totient is φ = 858370867200.

The previous prime is 3865793323283. The next prime is 3865793323439. The reversal of 3865793323392 is 2933233975683.

3865793323392 is a `hidden beast` number, since 3 + 8 + 6 + 579 + 3 + 3 + 23 + 39 + 2 = 666.

It is a super-3 number, since 3×3865793323392³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 34210560328 + ... + 34210560440.

It is an arithmetic number, because the mean of its divisors is an integer number (5412834000).

Almost surely, 2^{3865793323392} is an apocalyptic number.

3865793323392 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 3865793323392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8314113024000).

3865793323392 is an abundant number, since it is smaller than the sum of its proper divisors (12762432724608).

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

3865793323392 is a wasteful number, since it uses less digits than its factorization.

3865793323392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 209 counting only the distinct ones).

The product of its digits is 132269760, while the sum is 63.

The spelling of 3865793323392 in words is "three trillion, eight hundred sixty-five billion, seven hundred ninety-three million, three hundred twenty-three thousand, three hundred ninety-two".