3380106240 has 528 divisors, whose sum is σ = 14001480000. Its totient is φ = 771047424.

The previous prime is 3380106239. The next prime is 3380106259. The reversal of 3380106240 is 426010833.

It is a happy number.

3380106240 is a `hidden beast` number, since 3 + 38 + 0 + 1 + 0 + 624 + 0 = 666.

It is a super-2 number, since 2×3380106240² = 22850236387373875200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 6773511 + ... + 6774009.

Almost surely, 2^3380106240 is an apocalyptic number.

3380106240 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 3380106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7000740000).

3380106240 is an abundant number, since it is smaller than the sum of its proper divisors (10621373760).

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

3380106240 is a wasteful number, since it uses less digits than its factorization.

3380106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3380106240 is about 58138.6810995915. The cubic root of 3380106240 is about 1500.7560988124.

The spelling of 3380106240 in words is "three billion, three hundred eighty million, one hundred six thousand, two hundred forty".