3948048000 has 1024 divisors, whose sum is σ = 16930368000. Its totient is φ = 895795200.

The previous prime is 3948047993. The next prime is 3948048011. The reversal of 3948048000 is 8408493.

3948048000 = 30³ + 31³ + ... + 354³.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106703982 + ... + 106704018.

Almost surely, 2^3948048000 is an apocalyptic number.

3948048000 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 3948048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8465184000).

3948048000 is an abundant number, since it is smaller than the sum of its proper divisors (12982320000).

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

3948048000 is a wasteful number, since it uses less digits than its factorization.

3948048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3948048000 is about 62833.4942526675. The cubic root of 3948048000 is about 1580.4986942607.

The spelling of 3948048000 in words is "three billion, nine hundred forty-eight million, forty-eight thousand".