3900449280 has 320 divisors, whose sum is σ = 15349517568. Its totient is φ = 822804480.

The previous prime is 3900449263. The next prime is 3900449303. The reversal of 3900449280 is 829440093.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 696090 + ... + 701670.

Almost surely, 2^3900449280 is an apocalyptic number.

3900449280 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 3900449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7674758784).

3900449280 is an abundant number, since it is smaller than the sum of its proper divisors (11449068288).

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

3900449280 is a wasteful number, since it uses less digits than its factorization.

3900449280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5627 (or 5611 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 3900449280 is about 62453.5769992400. The cubic root of 3900449280 is about 1574.1213582497.

The spelling of 3900449280 in words is "three billion, nine hundred million, four hundred forty-nine thousand, two hundred eighty".