3341205504 has 480 divisors, whose sum is σ = 12330877440. Its totient is φ = 870580224.

The previous prime is 3341205407. The next prime is 3341205523. The reversal of 3341205504 is 4055021433.

3341205504 is a `hidden beast` number, since 3 + 34 + 120 + 5 + 504 = 666.

It is a super-2 number, since 2×3341205504² = 22327308439919788032, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40255447 + ... + 40255529.

It is an arithmetic number, because the mean of its divisors is an integer number (25689328).

Almost surely, 2^3341205504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3341205504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6165438720).

3341205504 is an abundant number, since it is smaller than the sum of its proper divisors (8989671936).

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

3341205504 is an equidigital number, since it uses as much as digits as its factorization.

3341205504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3341205504 is about 57803.1617128337. The cubic root of 3341205504 is about 1494.9766037733.

Adding to 3341205504 its reverse (4055021433), we get a palindrome (7396226937).

The spelling of 3341205504 in words is "three billion, three hundred forty-one million, two hundred five thousand, five hundred four".