3379783680 has 864 divisors, whose sum is σ = 14963719680. Its totient is φ = 690094080.

The previous prime is 3379783679. The next prime is 3379783697. The reversal of 3379783680 is 863879733.

It is a super-2 number, since 2×3379783680² = 22845875447188684800, 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 71 ways as a sum of consecutive naturals, for example, 109025265 + ... + 109025295.

It is an arithmetic number, because the mean of its divisors is an integer number (17319120).

Almost surely, 2^3379783680 is an apocalyptic number.

3379783680 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 3379783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7481859840).

3379783680 is an abundant number, since it is smaller than the sum of its proper divisors (11583936000).

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

3379783680 is a wasteful number, since it uses less digits than its factorization.

3379783680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 3379783680 is about 58135.9069766698. The cubic root of 3379783680 is about 1500.7083587659.

The spelling of 3379783680 in words is "three billion, three hundred seventy-nine million, seven hundred eighty-three thousand, six hundred eighty".