3990517440 has 448 divisors, whose sum is σ = 16517136384. Its totient is φ = 792133632.

The previous prime is 3990517429. The next prime is 3990517481. The reversal of 3990517440 is 447150993.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3990517392 and 3990517401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1483777 + ... + 1486463.

It is an arithmetic number, because the mean of its divisors is an integer number (36868608).

Almost surely, 2^3990517440 is an apocalyptic number.

3990517440 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 3990517440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8258568192).

3990517440 is an abundant number, since it is smaller than the sum of its proper divisors (12526618944).

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

3990517440 is a wasteful number, since it uses less digits than its factorization.

3990517440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 3990517440 is about 63170.5425020238. The cubic root of 3990517440 is about 1586.1456739519.

The spelling of 3990517440 in words is "three billion, nine hundred ninety million, five hundred seventeen thousand, four hundred forty".