3394819680 has 384 divisors, whose sum is σ = 13188510720. Its totient is φ = 716636160.

The previous prime is 3394819643. The next prime is 3394819733. The reversal of 3394819680 is 869184933.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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, 2616792 + ... + 2618088.

It is an arithmetic number, because the mean of its divisors is an integer number (34345080).

Almost surely, 2^3394819680 is an apocalyptic number.

3394819680 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 3394819680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6594255360).

3394819680 is an abundant number, since it is smaller than the sum of its proper divisors (9793691040).

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

3394819680 is a wasteful number, since it uses less digits than its factorization.

3394819680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The square root of 3394819680 is about 58265.0811378479. The cubic root of 3394819680 is about 1502.9305198626.

It can be divided in two parts, 33948 and 19680, that added together give a triangular number (53628 = T₃₂₇).

The spelling of 3394819680 in words is "three billion, three hundred ninety-four million, eight hundred nineteen thousand, six hundred eighty".