3386378880 has 128 divisors (see below), whose sum is σ = 11993486400. Its totient is φ = 903029760.

The previous prime is 3386378819. The next prime is 3386378893. The reversal of 3386378880 is 888736833.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3386378880² = 22935123837820108800, which contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 80706 + ... + 115265.

Almost surely, 2^3386378880 is an apocalyptic number.

3386378880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3386378880 is an abundant number, since it is smaller than the sum of its proper divisors (8607107520).

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

3386378880 is a wasteful number, since it uses less digits than its factorization.

3386378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195999 (or 195981 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 3386378880 is about 58192.6015916113. The cubic root of 3386378880 is about 1501.6838690161.

The spelling of 3386378880 in words is "three billion, three hundred eighty-six million, three hundred seventy-eight thousand, eight hundred eighty".