3948283440 has 240 divisors, whose sum is σ = 13922108928. Its totient is φ = 1039765248.

The previous prime is 3948283421. The next prime is 3948283459. The reversal of 3948283440 is 443828493.

It is an interprime number because it is at equal distance from previous prime (3948283421) and next prime (3948283459).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1612297 + ... + 1614743.

Almost surely, 2^3948283440 is an apocalyptic number.

3948283440 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 3948283440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6961054464).

3948283440 is an abundant number, since it is smaller than the sum of its proper divisors (9973825488).

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

3948283440 is a wasteful number, since it uses less digits than its factorization.

3948283440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2558 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 3948283440 is about 62835.3677477899. The cubic root of 3948283440 is about 1580.5301110702.

The spelling of 3948283440 in words is "three billion, nine hundred forty-eight million, two hundred eighty-three thousand, four hundred forty".