3948963840000 has 1575 divisors, whose sum is σ = 15467958858583. Its totient is φ = 1007271936000.

The previous prime is 3948963839987. The next prime is 3948963840043. The reversal of 3948963840000 is 483698493.

It is a happy number.

The square root of 3948963840000 is 1987200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 309598765056 + 3639365074944 = 556416^2 + 1907712^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 171694079989 + ... + 171694080011.

Almost surely, 2^{3948963840000} is an apocalyptic number.

3948963840000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3948963840000 is the 1987200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3948963840000

3948963840000 is an abundant number, since it is smaller than the sum of its proper divisors (11518995018583).

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

3948963840000 is an frugal number, since it uses more digits than its factorization.

3948963840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 3948963840000 in words is "three trillion, nine hundred forty-eight billion, nine hundred sixty-three million, eight hundred forty thousand".