3945501678456 has 96 divisors (see below), whose sum is σ = 11518686270000. Its totient is φ = 1212842921472.

The previous prime is 3945501678427. The next prime is 3945501678457. The reversal of 3945501678456 is 6548761055493.

It is a happy number.

3945501678456 is a `hidden beast` number, since 3 + 9 + 4 + 5 + 501 + 6 + 78 + 4 + 56 = 666.

It is a super-2 number, since 2×3945501678456² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3945501678393 and 3945501678402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3945501678457) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1027326 + ... + 2991053.

Almost surely, 2^{3945501678456} is an apocalyptic number.

3945501678456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3945501678456 is an abundant number, since it is smaller than the sum of its proper divisors (7573184591544).

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

3945501678456 is a wasteful number, since it uses less digits than its factorization.

3945501678456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4019453 (or 4019446 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 3945501678456 in words is "three trillion, nine hundred forty-five billion, five hundred one million, six hundred seventy-eight thousand, four hundred fifty-six".