3940580448 has 192 divisors, whose sum is σ = 13267376640. Its totient is φ = 1114560000.

The previous prime is 3940580447. The next prime is 3940580509. The reversal of 3940580448 is 8440850493.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3940580447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 607623 + ... + 614073.

It is an arithmetic number, because the mean of its divisors is an integer number (69100920).

Almost surely, 2^3940580448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3940580448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6633688320).

3940580448 is an abundant number, since it is smaller than the sum of its proper divisors (9326796192).

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

3940580448 is a wasteful number, since it uses less digits than its factorization.

3940580448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6578 (or 6564 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3940580448 is about 62774.0427884010. The cubic root of 3940580448 is about 1579.5015850324.

It can be divided in two parts, 3940580 and 448, that added together give a triangular number (3941028 = T₂₈₀₇).

The spelling of 3940580448 in words is "three billion, nine hundred forty million, five hundred eighty thousand, four hundred forty-eight".