3783742574976 has 960 divisors, whose sum is σ = 14562213240960. Its totient is φ = 965667225600.

The previous prime is 3783742574971. The next prime is 3783742574977. The reversal of 3783742574976 is 6794752473873.

3783742574976 is a `hidden beast` number, since 3 + 7 + 8 + 3 + 7 + 42 + 574 + 9 + 7 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3783742574971) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 204727656 + ... + 204746136.

It is an arithmetic number, because the mean of its divisors is an integer number (15168972126).

Almost surely, 2^{3783742574976} is an apocalyptic number.

3783742574976 is a gapful number since it is divisible by the number (36) 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 3783742574976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7281106620480).

3783742574976 is an abundant number, since it is smaller than the sum of its proper divisors (10778470665984).

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

3783742574976 is a wasteful number, since it uses less digits than its factorization.

3783742574976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18565 (or 18537 counting only the distinct ones).

The product of its digits is 1493614080, while the sum is 72.

The spelling of 3783742574976 in words is "three trillion, seven hundred eighty-three billion, seven hundred forty-two million, five hundred seventy-four thousand, nine hundred seventy-six".