3908946720000 has 720 divisors, whose sum is σ = 14885008772480. Its totient is φ = 891813888000.

The previous prime is 3908946719981. The next prime is 3908946720079. The reversal of 3908946720000 is 276498093.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3390239424 + ... + 3390240576.

Almost surely, 2^{3908946720000} is an apocalyptic number.

3908946720000 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 3908946720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7442504386240).

3908946720000 is an abundant number, since it is smaller than the sum of its proper divisors (10976062052480).

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

3908946720000 is a wasteful number, since it uses less digits than its factorization.

3908946720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 3908946720000 in words is "three trillion, nine hundred eight billion, nine hundred forty-six million, seven hundred twenty thousand".