3783245943456 has 192 divisors, whose sum is σ = 12618818150400. Its totient is φ = 1080241843968.

The previous prime is 3783245943439. The next prime is 3783245943457. The reversal of 3783245943456 is 6543495423873.

3783245943456 is a `hidden beast` number, since 3 + 7 + 8 + 3 + 2 + 4 + 594 + 34 + 5 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3783245943393 and 3783245943402.

It is not an unprimeable number, because it can be changed into a prime (3783245943457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9376405 + ... + 9771563.

It is an arithmetic number, because the mean of its divisors is an integer number (65723011200).

Almost surely, 2^{3783245943456} is an apocalyptic number.

3783245943456 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 3783245943456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6309409075200).

3783245943456 is an abundant number, since it is smaller than the sum of its proper divisors (8835572206944).

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

3783245943456 is a wasteful number, since it uses less digits than its factorization.

3783245943456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396768 (or 396754 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 63.

The spelling of 3783245943456 in words is "three trillion, seven hundred eighty-three billion, two hundred forty-five million, nine hundred forty-three thousand, four hundred fifty-six".