3341780640 has 288 divisors, whose sum is σ = 12557353536. Its totient is φ = 802529280.

The previous prime is 3341780621. The next prime is 3341780669. The reversal of 3341780640 is 460871433.

3341780640 is a `hidden beast` number, since 3 + 3 + 4 + 1 + 7 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3341780640² = 22334995691757619200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3341780595 and 3341780604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1788987 + ... + 1790853.

It is an arithmetic number, because the mean of its divisors is an integer number (43601922).

Almost surely, 2^3341780640 is an apocalyptic number.

3341780640 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 3341780640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6278676768).

3341780640 is an abundant number, since it is smaller than the sum of its proper divisors (9215572896).

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

3341780640 is a wasteful number, since it uses less digits than its factorization.

3341780640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3341780640 is about 57808.1364515411. The cubic root of 3341780640 is about 1495.0623777584.

The spelling of 3341780640 in words is "three billion, three hundred forty-one million, seven hundred eighty thousand, six hundred forty".