3782392534368 has 576 divisors, whose sum is σ = 13098141987840. Its totient is φ = 1051165900800.

The previous prime is 3782392534367. The next prime is 3782392534379. The reversal of 3782392534368 is 8634352932873.

It is a happy number.

3782392534368 is a `hidden beast` number, since 3 + 7 + 8 + 2 + 3 + 92 + 534 + 3 + 6 + 8 = 666.

It is a super-2 number, since 2×3782392534368² (a number of 26 digits) contains 22 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 not an unprimeable number, because it can be changed into a prime (3782392534367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 801182248 + ... + 801186968.

It is an arithmetic number, because the mean of its divisors is an integer number (22739829840).

Almost surely, 2^{3782392534368} 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 3782392534368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6549070993920).

3782392534368 is an abundant number, since it is smaller than the sum of its proper divisors (9315749453472).

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

3782392534368 is a wasteful number, since it uses less digits than its factorization.

3782392534368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5153 (or 5133 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 63.

The spelling of 3782392534368 in words is "three trillion, seven hundred eighty-two billion, three hundred ninety-two million, five hundred thirty-four thousand, three hundred sixty-eight".