3379888512 has 512 divisors, whose sum is σ = 13407206400. Its totient is φ = 809533440.

The previous prime is 3379888489. The next prime is 3379888529. The reversal of 3379888512 is 2158889733.

3379888512 is a `hidden beast` number, since 3 + 37 + 98 + 8 + 8 + 512 = 666.

It is a super-2 number, since 2×3379888512² = 22847292707099148288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 3458968 + ... + 3459944.

It is an arithmetic number, because the mean of its divisors is an integer number (26185950).

Almost surely, 2^3379888512 is an apocalyptic number.

3379888512 is a gapful number since it is divisible by the number (32) 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 3379888512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6703603200).

3379888512 is an abundant number, since it is smaller than the sum of its proper divisors (10027317888).

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

3379888512 is a wasteful number, since it uses less digits than its factorization.

3379888512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1013 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 3379888512 is about 58136.8085811390. The cubic root of 3379888512 is about 1500.7238746142.

The spelling of 3379888512 in words is "three billion, three hundred seventy-nine million, eight hundred eighty-eight thousand, five hundred twelve".