3378400560 has 120 divisors (see below), whose sum is σ = 11427758160. Its totient is φ = 894398976.

The previous prime is 3378400549. The next prime is 3378400591. The reversal of 3378400560 is 650048733.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3378400560² = 22827180687616627200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 83202 + ... + 116958.

It is an arithmetic number, because the mean of its divisors is an integer number (95231318).

Almost surely, 2^3378400560 is an apocalyptic number.

3378400560 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 3378400560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713879080).

3378400560 is an abundant number, since it is smaller than the sum of its proper divisors (8049357600).

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

3378400560 is a wasteful number, since it uses less digits than its factorization.

3378400560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33915 (or 33906 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3378400560 is about 58124.0101851206. The cubic root of 3378400560 is about 1500.5036175606.

The spelling of 3378400560 in words is "three billion, three hundred seventy-eight million, four hundred thousand, five hundred sixty".