3314606400 has 672 divisors, whose sum is σ = 14074932480. Its totient is φ = 743178240.

The previous prime is 3314606389. The next prime is 3314606431. The reversal of 3314606400 is 46064133.

3314606400 is a `hidden beast` number, since 3 + 3 + 14 + 6 + 0 + 640 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 29332744 + ... + 29332856.

It is an arithmetic number, because the mean of its divisors is an integer number (20944840).

Almost surely, 2^3314606400 is an apocalyptic number.

3314606400 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 3314606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7037466240).

3314606400 is an abundant number, since it is smaller than the sum of its proper divisors (10760326080).

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

3314606400 is a wasteful number, since it uses less digits than its factorization.

3314606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3314606400 is about 57572.6184917796. The cubic root of 3314606400 is about 1490.9988947763.

The spelling of 3314606400 in words is "three billion, three hundred fourteen million, six hundred six thousand, four hundred".