3954585600000 has 1152 divisors, whose sum is σ = 16345840361760. Its totient is φ = 902430720000.

The previous prime is 3954585599947. The next prime is 3954585600013. The reversal of 3954585600000 is 65854593.

3954585600000 is a `hidden beast` number, since 3 + 9 + 5 + 4 + 585 + 60 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6451199694 + ... + 6451200306.

Almost surely, 2^{3954585600000} is an apocalyptic number.

3954585600000 is a gapful number since it is divisible by the number (30) 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 3954585600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8172920180880).

3954585600000 is an abundant number, since it is smaller than the sum of its proper divisors (12391254761760).

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

3954585600000 is an frugal number, since it uses more digits than its factorization.

3954585600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 3954585600000 in words is "three trillion, nine hundred fifty-four billion, five hundred eighty-five million, six hundred thousand".