3388587280 has 160 divisors (see below), whose sum is σ = 8805936384. Its totient is φ = 1204512768.

The previous prime is 3388587253. The next prime is 3388587329. The reversal of 3388587280 is 827858833.

It is a super-2 number, since 2×3388587280² = 22965047508355596800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4116949 + ... + 4117771.

Almost surely, 2^3388587280 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 3388587280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402968192).

3388587280 is an abundant number, since it is smaller than the sum of its proper divisors (5417349104).

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

3388587280 is a wasteful number, since it uses less digits than its factorization.

3388587280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The square root of 3388587280 is about 58211.5734197247. The cubic root of 3388587280 is about 1502.0102351367.

The spelling of 3388587280 in words is "three billion, three hundred eighty-eight million, five hundred eighty-seven thousand, two hundred eighty".