3948257280 has 448 divisors, whose sum is σ = 14494629888. Its totient is φ = 908328960.

The previous prime is 3948257273. The next prime is 3948257281. The reversal of 3948257280 is 827528493.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3948257281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31088577 + ... + 31088703.

Almost surely, 2^3948257280 is an apocalyptic number.

3948257280 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 3948257280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7247314944).

3948257280 is an abundant number, since it is smaller than the sum of its proper divisors (10546372608).

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

3948257280 is a wasteful number, since it uses less digits than its factorization.

3948257280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 3948257280 is about 62835.1595844238. The cubic root of 3948257280 is about 1580.5266203753.

The spelling of 3948257280 in words is "three billion, nine hundred forty-eight million, two hundred fifty-seven thousand, two hundred eighty".