3361271040 has 144 divisors (see below), whose sum is σ = 11927966400. Its totient is φ = 896329728.

The previous prime is 3361271029. The next prime is 3361271047. The reversal of 3361271040 is 401721633.

3361271040 is a `hidden beast` number, since 3 + 3 + 612 + 7 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3361271040² = 22596286008685363200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3361270995 and 3361271013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3361271047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14070 + ... + 83189.

It is an arithmetic number, because the mean of its divisors is an integer number (82833100).

Almost surely, 2^3361271040 is an apocalyptic number.

3361271040 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 3361271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5963983200).

3361271040 is an abundant number, since it is smaller than the sum of its proper divisors (8566695360).

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

3361271040 is an equidigital number, since it uses as much as digits as its factorization.

3361271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97289 (or 97269 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3361271040 is about 57976.4697097021. The cubic root of 3361271040 is about 1497.9633158634.

Adding to 3361271040 its reverse (401721633), we get a palindrome (3762992673).

The spelling of 3361271040 in words is "three billion, three hundred sixty-one million, two hundred seventy-one thousand, forty".