3948107760 has 120 divisors (see below), whose sum is σ = 13340802384. Its totient is φ = 1046338560.

The previous prime is 3948107749. The next prime is 3948107773. The reversal of 3948107760 is 677018493.

It is a tau number, because it is divible by the number of its divisors (120).

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

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 23 ways as a sum of consecutive naturals, for example, 100540 + ... + 134180.

Almost surely, 2^3948107760 is an apocalyptic number.

3948107760 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 3948107760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6670401192).

3948107760 is an abundant number, since it is smaller than the sum of its proper divisors (9392694624).

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

3948107760 is a wasteful number, since it uses less digits than its factorization.

3948107760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33823 (or 33814 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 3948107760 is about 62833.9697934167. The cubic root of 3948107760 is about 1580.5066686762.

The spelling of 3948107760 in words is "three billion, nine hundred forty-eight million, one hundred seven thousand, seven hundred sixty".