3340091664 has 270 divisors, whose sum is σ = 11778747786. Its totient is φ = 880588800.

The previous prime is 3340091659. The next prime is 3340091669. The reversal of 3340091664 is 4661900433.

It is an interprime number because it is at equal distance from previous prime (3340091659) and next prime (3340091669).

It can be written as a sum of positive squares in 3 ways, for example, as 176400 + 3339915264 = 420^2 + 57792^2 .

It is a super-2 number, since 2×3340091664² = 22312424647844577792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3340091669) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1191064 + ... + 1193864.

Almost surely, 2^3340091664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3340091664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5889373893).

3340091664 is an abundant number, since it is smaller than the sum of its proper divisors (8438656122).

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

3340091664 is a wasteful number, since it uses less digits than its factorization.

3340091664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3340091664 is about 57793.5261426399. The cubic root of 3340091664 is about 1494.8104611631.

The spelling of 3340091664 in words is "three billion, three hundred forty million, ninety-one thousand, six hundred sixty-four".