3365429760 has 720 divisors, whose sum is σ = 14845514112. Its totient is φ = 696729600.

The previous prime is 3365429747. The next prime is 3365429761. The reversal of 3365429760 is 679245633.

3365429760 is a `hidden beast` number, since 3 + 36 + 542 + 9 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3365429760² = 22652234938987315200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3365429761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12418425 + ... + 12418695.

Almost surely, 2^3365429760 is an apocalyptic number.

3365429760 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 3365429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7422757056).

3365429760 is an abundant number, since it is smaller than the sum of its proper divisors (11480084352).

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

3365429760 is a wasteful number, since it uses less digits than its factorization.

3365429760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 3365429760 is about 58012.3242078784. The cubic root of 3365429760 is about 1498.5808444217.

The spelling of 3365429760 in words is "three billion, three hundred sixty-five million, four hundred twenty-nine thousand, seven hundred sixty".