3955640832000 has 4160 divisors, whose sum is σ = 18702026703360. Its totient is φ = 817496064000.

The previous prime is 3955640831983. The next prime is 3955640832089. The reversal of 3955640832000 is 2380465593.

3955640832000 is a `hidden beast` number, since 3 + 9 + 5 + 564 + 0 + 83 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 136401407986 + ... + 136401408014.

It is an arithmetic number, because the mean of its divisors is an integer number (4495679496).

Almost surely, 2^{3955640832000} is an apocalyptic number.

3955640832000 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 3955640832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9351013351680).

3955640832000 is an abundant number, since it is smaller than the sum of its proper divisors (14746385871360).

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

3955640832000 is a wasteful number, since it uses less digits than its factorization.

3955640832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 3955640832000 in words is "three trillion, nine hundred fifty-five billion, six hundred forty million, eight hundred thirty-two thousand".