3945296491776 has 576 divisors, whose sum is σ = 12164318208000. Its totient is φ = 1276345423872.

The previous prime is 3945296491727. The next prime is 3945296491811. The reversal of 3945296491776 is 6771946925493.

3945296491776 is a `hidden beast` number, since 3 + 9 + 4 + 529 + 6 + 4 + 91 + 7 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2741692465 + ... + 2741693903.

It is an arithmetic number, because the mean of its divisors is an integer number (21118608000).

Almost surely, 2^{3945296491776} is an apocalyptic number.

3945296491776 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 3945296491776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6082159104000).

3945296491776 is an abundant number, since it is smaller than the sum of its proper divisors (8219021716224).

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

3945296491776 is an frugal number, since it uses more digits than its factorization.

3945296491776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1586 counting only the distinct ones).

The product of its digits is 617258880, while the sum is 72.

The spelling of 3945296491776 in words is "three trillion, nine hundred forty-five billion, two hundred ninety-six million, four hundred ninety-one thousand, seven hundred seventy-six".