3954545649792 has 640 divisors, whose sum is σ = 12663425174400. Its totient is φ = 1221207736320.

The previous prime is 3954545649781. The next prime is 3954545649851. The reversal of 3954545649792 is 2979465454593.

It is a happy number.

3954545649792 is a `hidden beast` number, since 3 + 9 + 5 + 4 + 5 + 45 + 6 + 497 + 92 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3954545649792.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5439539733 + ... + 5439540459.

It is an arithmetic number, because the mean of its divisors is an integer number (19786601835).

Almost surely, 2^{3954545649792} is an apocalyptic number.

3954545649792 is a gapful number since it is divisible by the number (32) 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 3954545649792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6331712587200).

3954545649792 is an abundant number, since it is smaller than the sum of its proper divisors (8708879524608).

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

3954545649792 is a wasteful number, since it uses less digits than its factorization.

3954545649792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1325 counting only the distinct ones).

The product of its digits is 1469664000, while the sum is 72.

The spelling of 3954545649792 in words is "three trillion, nine hundred fifty-four billion, five hundred forty-five million, six hundred forty-nine thousand, seven hundred ninety-two".