3331579776 has 192 divisors, whose sum is σ = 10837296000. Its totient is φ = 901684224.

The previous prime is 3331579747. The next prime is 3331579807. The reversal of 3331579776 is 6779751333.

3331579776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3331579776² = 22198847607704420352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352845 + ... + 362163.

It is an arithmetic number, because the mean of its divisors is an integer number (56444250).

Almost surely, 2^3331579776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3331579776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5418648000).

3331579776 is an abundant number, since it is smaller than the sum of its proper divisors (7505716224).

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

3331579776 is a wasteful number, since it uses less digits than its factorization.

3331579776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9369 (or 9350 counting only the distinct ones).

The product of its digits is 2500470, while the sum is 51.

The square root of 3331579776 is about 57719.8386692132. The cubic root of 3331579776 is about 1493.5395895665.

The spelling of 3331579776 in words is "three billion, three hundred thirty-one million, five hundred seventy-nine thousand, seven hundred seventy-six".