3954664465920 has 1440 divisors, whose sum is σ = 16347530833920. Its totient is φ = 880697180160.

The previous prime is 3954664465901. The next prime is 3954664466057. The reversal of 3954664465920 is 295644664593.

3954664465920 is a `hidden beast` number, since 3 + 9 + 546 + 6 + 4 + 4 + 65 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 8256084241 + ... + 8256084719.

It is an arithmetic number, because the mean of its divisors is an integer number (11352451968).

Almost surely, 2^{3954664465920} is an apocalyptic number.

3954664465920 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 3954664465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8173765416960).

3954664465920 is an abundant number, since it is smaller than the sum of its proper divisors (12392866368000).

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

3954664465920 is a wasteful number, since it uses less digits than its factorization.

3954664465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 63.

The spelling of 3954664465920 in words is "three trillion, nine hundred fifty-four billion, six hundred sixty-four million, four hundred sixty-five thousand, nine hundred twenty".