3362468760 has 768 divisors, whose sum is σ = 14500224000. Its totient is φ = 685283328.

The previous prime is 3362468749. The next prime is 3362468897. The reversal of 3362468760 is 678642633.

3362468760 is a `hidden beast` number, since 336 + 246 + 8 + 76 + 0 = 666.

It is a super-2 number, since 2×3362468760² = 22612392323951875200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 176972031 + ... + 176972049.

It is an arithmetic number, because the mean of its divisors is an integer number (18880500).

Almost surely, 2^3362468760 is an apocalyptic number.

3362468760 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 3362468760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7250112000).

3362468760 is an abundant number, since it is smaller than the sum of its proper divisors (11137755240).

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

3362468760 is a wasteful number, since it uses less digits than its factorization.

3362468760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 3362468760 is about 57986.7981526830. The cubic root of 3362468760 is about 1498.1412175700.

The spelling of 3362468760 in words is "three billion, three hundred sixty-two million, four hundred sixty-eight thousand, seven hundred sixty".