3934656000000 has 2184 divisors, whose sum is σ = 16770857830272. Its totient is φ = 912384000000.

The previous prime is 3934655999993. The next prime is 3934656000019. The reversal of 3934656000000 is 6564393.

3934656000000 is a `hidden beast` number, since 3 + 9 + 3 + 46 + 5 + 600 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 171071999989 + ... + 171072000011.

It is an arithmetic number, because the mean of its divisors is an integer number (7678964208).

Almost surely, 2^{3934656000000} is an apocalyptic number.

3934656000000 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 3934656000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8385428915136).

3934656000000 is an abundant number, since it is smaller than the sum of its proper divisors (12836201830272).

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

3934656000000 is an frugal number, since it uses more digits than its factorization.

3934656000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 3934656000000 in words is "three trillion, nine hundred thirty-four billion, six hundred fifty-six million", and thus it is an aban number.