3388170240 has 672 divisors, whose sum is σ = 14598432576. Its totient is φ = 707788800.

The previous prime is 3388170221. The next prime is 3388170241. The reversal of 3388170240 is 420718833.

3388170240 is a `hidden beast` number, since 338 + 81 + 7 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3388170240² = 22959395150443315200, which contains 22 as substring.

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 = 3388170195 and 3388170204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3388170241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33546190 + ... + 33546290.

It is an arithmetic number, because the mean of its divisors is an integer number (21723858).

Almost surely, 2^3388170240 is an apocalyptic number.

3388170240 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 3388170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7299216288).

3388170240 is an abundant number, since it is smaller than the sum of its proper divisors (11210262336).

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

3388170240 is a wasteful number, since it uses less digits than its factorization.

3388170240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3388170240 is about 58207.9912039576. The cubic root of 3388170240 is about 1501.9486141724.

The spelling of 3388170240 in words is "three billion, three hundred eighty-eight million, one hundred seventy thousand, two hundred forty".