3364000000 has 189 divisors, whose sum is σ = 8692877011. Its totient is φ = 1299200000.

The previous prime is 3363999979. The next prime is 3364000019. The reversal of 3364000000 is 4633.

It is a happy number.

The square root of 3364000000 is 58000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 2850705664 + 513294336 = 53392^2 + 22656^2 .

It is a super-2 number, since 2×3364000000² = 22632992000000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 115999986 + ... + 116000014.

Almost surely, 2^3364000000 is an apocalyptic number.

3364000000 is the 58000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3364000000

3364000000 is an abundant number, since it is smaller than the sum of its proper divisors (5328877011).

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

3364000000 is an frugal number, since it uses more digits than its factorization.

3364000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The cubic root of 3364000000 is about 1498.3685966958.

Multiplying 3364000000 by its sum of digits (16), we get a square (53824000000 = 232000²).

3364000000 divided by its sum of digits (16) gives a square (210250000 = 14500²).

Adding to 3364000000 its reverse (4633), we get a palindrome (3364004633).

The spelling of 3364000000 in words is "three billion, three hundred sixty-four million", and thus it is an aban number.