3980521440 has 960 divisors, whose sum is σ = 17782934400. Its totient is φ = 817496064.

The previous prime is 3980521399. The next prime is 3980521459. The reversal of 3980521440 is 441250893.

3980521440 is a `hidden beast` number, since 3 + 98 + 0 + 521 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3980521395 and 3980521404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 44724916 + ... + 44725004.

It is an arithmetic number, because the mean of its divisors is an integer number (18523890).

Almost surely, 2^3980521440 is an apocalyptic number.

3980521440 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 3980521440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8891467200).

3980521440 is an abundant number, since it is smaller than the sum of its proper divisors (13802412960).

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

3980521440 is a wasteful number, since it uses less digits than its factorization.

3980521440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3980521440 is about 63091.3737368271. The cubic root of 3980521440 is about 1584.8201675448.

The spelling of 3980521440 in words is "three billion, nine hundred eighty million, five hundred twenty-one thousand, four hundred forty".