3954789354816 has 392 divisors, whose sum is σ = 12009611230920. Its totient is φ = 1291092701184.

The previous prime is 3954789354809. The next prime is 3954789354877. The reversal of 3954789354816 is 6184539874593.

3954789354816 is a `hidden beast` number, since 3 + 9 + 5 + 4 + 78 + 9 + 3 + 548 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10974657600 + 3943814697216 = 104760^2 + 1985904^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1911448630 + ... + 1911450698.

Almost surely, 2^{3954789354816} is an apocalyptic number.

3954789354816 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 3954789354816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6004805615460).

3954789354816 is an abundant number, since it is smaller than the sum of its proper divisors (8054821876104).

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

3954789354816 is an equidigital number, since it uses as much as digits as its factorization.

3954789354816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2925 (or 2900 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 3954789354816 in words is "three trillion, nine hundred fifty-four billion, seven hundred eighty-nine million, three hundred fifty-four thousand, eight hundred sixteen".