3930208704000 has 480 divisors, whose sum is σ = 14281384575744. Its totient is φ = 1038763622400.

The previous prime is 3930208703917. The next prime is 3930208704007. The reversal of 3930208704000 is 4078020393.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3930208704007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65057809 + ... + 65118191.

Almost surely, 2^{3930208704000} is an apocalyptic number.

3930208704000 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 3930208704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7140692287872).

3930208704000 is an abundant number, since it is smaller than the sum of its proper divisors (10351175871744).

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

3930208704000 is a wasteful number, since it uses less digits than its factorization.

3930208704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60535 (or 60506 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 3930208704000 in words is "three trillion, nine hundred thirty billion, two hundred eight million, seven hundred four thousand".