3361503360 has 256 divisors, whose sum is σ = 11273333760. Its totient is φ = 850341888.

The previous prime is 3361503359. The next prime is 3361503373. The reversal of 3361503360 is 633051633.

It is a super-2 number, since 2×3361503360² = 22599409678582579200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 7197847 + ... + 7198313.

It is an arithmetic number, because the mean of its divisors is an integer number (44036460).

Almost surely, 2^3361503360 is an apocalyptic number.

3361503360 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 3361503360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5636666880).

3361503360 is an abundant number, since it is smaller than the sum of its proper divisors (7911830400).

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

3361503360 is a wasteful number, since it uses less digits than its factorization.

3361503360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 30.

The square root of 3361503360 is about 57978.4732465421. The cubic root of 3361503360 is about 1497.9978265010.

Adding to 3361503360 its reverse (633051633), we get a palindrome (3994554993).

The spelling of 3361503360 in words is "three billion, three hundred sixty-one million, five hundred three thousand, three hundred sixty".