3364430160 has 480 divisors, whose sum is σ = 13322897280. Its totient is φ = 695955456.

The previous prime is 3364430119. The next prime is 3364430171. The reversal of 3364430160 is 610344633.

It is a super-2 number, since 2×3364430160² = 22638780603035251200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9019734 + ... + 9020106.

It is an arithmetic number, because the mean of its divisors is an integer number (27756036).

Almost surely, 2^3364430160 is an apocalyptic number.

3364430160 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 3364430160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6661448640).

3364430160 is an abundant number, since it is smaller than the sum of its proper divisors (9958467120).

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

3364430160 is a wasteful number, since it uses less digits than its factorization.

3364430160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 3364430160 is about 58003.7081573239. The cubic root of 3364430160 is about 1498.4324602278.

Adding to 3364430160 its reverse (610344633), we get a palindrome (3974774793).

The spelling of 3364430160 in words is "three billion, three hundred sixty-four million, four hundred thirty thousand, one hundred sixty".