3384138240 has 240 divisors, whose sum is σ = 13395178368. Its totient is φ = 773480448.

The previous prime is 3384138239. The next prime is 3384138293. The reversal of 3384138240 is 428314833.

It is a happy number.

3384138240 is a `hidden beast` number, since 3 + 384 + 1 + 38 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3384138240² = 22904783254860595200, 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 = 3384138195 and 3384138204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150789 + ... + 171771.

Almost surely, 2^3384138240 is an apocalyptic number.

3384138240 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 3384138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6697589184).

3384138240 is an abundant number, since it is smaller than the sum of its proper divisors (10011040128).

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

3384138240 is a wasteful number, since it uses less digits than its factorization.

3384138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21019 (or 21000 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3384138240 is about 58173.3464741371. The cubic root of 3384138240 is about 1501.3525932943.

The spelling of 3384138240 in words is "three billion, three hundred eighty-four million, one hundred thirty-eight thousand, two hundred forty".