3981377280 has 288 divisors, whose sum is σ = 13504135680. Its totient is φ = 997539840.

The previous prime is 3981377269. The next prime is 3981377321. The reversal of 3981377280 is 827731893.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5387151 + ... + 5387889.

It is an arithmetic number, because the mean of its divisors is an integer number (46889360).

Almost surely, 2^3981377280 is an apocalyptic number.

3981377280 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 3981377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6752067840).

3981377280 is an abundant number, since it is smaller than the sum of its proper divisors (9522758400).

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

3981377280 is a wasteful number, since it uses less digits than its factorization.

3981377280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 3981377280 is about 63098.1559160012. The cubic root of 3981377280 is about 1584.9337418855.

The spelling of 3981377280 in words is "three billion, nine hundred eighty-one million, three hundred seventy-seven thousand, two hundred eighty".