3948988832880 has 1280 divisors, whose sum is σ = 16489944576000. Its totient is φ = 758264758272.

The previous prime is 3948988832863. The next prime is 3948988832897. The reversal of 3948988832880 is 882388898493.

3948988832880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3948988832863) and next prime (3948988832897).

It is a super-4 number, since 4×3948988832880⁴ (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 3948988832796 and 3948988832805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2755748644 + ... + 2755750076.

It is an arithmetic number, because the mean of its divisors is an integer number (12882769200).

Almost surely, 2^{3948988832880} is an apocalyptic number.

3948988832880 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 3948988832880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8244972288000).

3948988832880 is an abundant number, since it is smaller than the sum of its proper divisors (12540955743120).

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

3948988832880 is a wasteful number, since it uses less digits than its factorization.

3948988832880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 1528823808, while the sum is 78.

The spelling of 3948988832880 in words is "three trillion, nine hundred forty-eight billion, nine hundred eighty-eight million, eight hundred thirty-two thousand, eight hundred eighty".