3364509960 has 448 divisors, whose sum is σ = 13258702080. Its totient is φ = 752094720.

The previous prime is 3364509959. The next prime is 3364509983. The reversal of 3364509960 is 699054633.

It is a happy number.

It is a super-2 number, since 2×3364509960² = 22639854541878403200, 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10818205 + ... + 10818515.

Almost surely, 2^3364509960 is an apocalyptic number.

3364509960 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 3364509960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6629351040).

3364509960 is an abundant number, since it is smaller than the sum of its proper divisors (9894192120).

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

3364509960 is a wasteful number, since it uses less digits than its factorization.

3364509960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 3364509960 is about 58004.3960403003. The cubic root of 3364509960 is about 1498.4443071042. Note that the first 3 decimals are identical.

The spelling of 3364509960 in words is "three billion, three hundred sixty-four million, five hundred nine thousand, nine hundred sixty".