3954146676480 has 864 divisors, whose sum is σ = 18368862220800. Its totient is φ = 758435512320.

The previous prime is 3954146676451. The next prime is 3954146676499. The reversal of 3954146676480 is 846766414593.

3954146676480 is a `hidden beast` number, since 3 + 9 + 5 + 4 + 146 + 6 + 7 + 6 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11360071 + ... + 11702969.

It is an arithmetic number, because the mean of its divisors is an integer number (21260257200).

Almost surely, 2^{3954146676480} is an apocalyptic number.

3954146676480 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 3954146676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9184431110400).

3954146676480 is an abundant number, since it is smaller than the sum of its proper divisors (14414715544320).

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

3954146676480 is a wasteful number, since it uses less digits than its factorization.

3954146676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342957 (or 342940 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 3954146676480 in words is "three trillion, nine hundred fifty-four billion, one hundred forty-six million, six hundred seventy-six thousand, four hundred eighty".