3314599920 has 320 divisors, whose sum is σ = 12024944640. Its totient is φ = 837568512.

The previous prime is 3314599909. The next prime is 3314599961. The reversal of 3314599920 is 299954133.

3314599920 is a `hidden beast` number, since 3 + 31 + 4 + 599 + 9 + 20 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6805917 + ... + 6806403.

It is an arithmetic number, because the mean of its divisors is an integer number (37577952).

Almost surely, 2^3314599920 is an apocalyptic number.

3314599920 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 3314599920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6012472320).

3314599920 is an abundant number, since it is smaller than the sum of its proper divisors (8710344720).

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

3314599920 is a wasteful number, since it uses less digits than its factorization.

3314599920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 3314599920 is about 57572.5622149996. The cubic root of 3314599920 is about 1490.9979231497.

The spelling of 3314599920 in words is "three billion, three hundred fourteen million, five hundred ninety-nine thousand, nine hundred twenty".