3379574016 has 504 divisors, whose sum is σ = 12510915200. Its totient is φ = 886837248.

The previous prime is 3379573987. The next prime is 3379574021. The reversal of 3379574016 is 6104759733.

3379574016 is a `hidden beast` number, since 3 + 3 + 79 + 574 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×3379574016² = 22843041059244736512, which contains 22 as substring.

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 55 ways as a sum of consecutive naturals, for example, 16982685 + ... + 16982883.

Almost surely, 2^3379574016 is an apocalyptic number.

3379574016 is a gapful number since it is divisible by the number (36) 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 3379574016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6255457600).

3379574016 is an abundant number, since it is smaller than the sum of its proper divisors (9131341184).

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

3379574016 is an equidigital number, since it uses as much as digits as its factorization.

3379574016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 3379574016 is about 58134.1037257822. The cubic root of 3379574016 is about 1500.6773261069.

The spelling of 3379574016 in words is "three billion, three hundred seventy-nine million, five hundred seventy-four thousand, sixteen".