3990450240 has 252 divisors, whose sum is σ = 15966946476. Its totient is φ = 912070656.

The previous prime is 3990450227. The next prime is 3990450287. The reversal of 3990450240 is 420540993.

It can be written as a sum of positive squares in 2 ways, for example, as 1467196416 + 2523253824 = 38304^2 + 50232^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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 = 3990450195 and 3990450204.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 126982 + ... + 155258.

Almost surely, 2^3990450240 is an apocalyptic number.

3990450240 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 3990450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983473238).

3990450240 is an abundant number, since it is smaller than the sum of its proper divisors (11976496236).

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

3990450240 is a wasteful number, since it uses less digits than its factorization.

3990450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28314 (or 28294 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3990450240 is about 63170.0106062996. The cubic root of 3990450240 is about 1586.1367703791.

The spelling of 3990450240 in words is "three billion, nine hundred ninety million, four hundred fifty thousand, two hundred forty".