3390497280 has 480 divisors, whose sum is σ = 12501485568. Its totient is φ = 847872000.

The previous prime is 3390497261. The next prime is 3390497281. The reversal of 3390497280 is 827940933.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3390497280² = 22990943611374796800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3390497281) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 33569230 + ... + 33569330.

Almost surely, 2^3390497280 is an apocalyptic number.

3390497280 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 3390497280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6250742784).

3390497280 is an abundant number, since it is smaller than the sum of its proper divisors (9110988288).

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

3390497280 is a wasteful number, since it uses less digits than its factorization.

3390497280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3390497280 is about 58227.9767809255. The cubic root of 3390497280 is about 1502.2923881863.

The spelling of 3390497280 in words is "three billion, three hundred ninety million, four hundred ninety-seven thousand, two hundred eighty".