3314426040 has 320 divisors, whose sum is σ = 11792563200. Its totient is φ = 833234688.

The previous prime is 3314426023. The next prime is 3314426051. The reversal of 3314426040 is 406244133.

3314426040 is a `hidden beast` number, since 3 + 3 + 14 + 42 + 604 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3314425995 and 3314426013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5886799 + ... + 5887361.

It is an arithmetic number, because the mean of its divisors is an integer number (36851760).

Almost surely, 2^3314426040 is an apocalyptic number.

3314426040 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 3314426040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896281600).

3314426040 is an abundant number, since it is smaller than the sum of its proper divisors (8478137160).

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

3314426040 is a wasteful number, since it uses less digits than its factorization.

3314426040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3314426040 is about 57571.0521008606. The cubic root of 3314426040 is about 1490.9718506967.

The spelling of 3314426040 in words is "three billion, three hundred fourteen million, four hundred twenty-six thousand, forty".