3370904964 has 96 divisors (see below), whose sum is σ = 10024546560. Its totient is φ = 959579136.

The previous prime is 3370904963. The next prime is 3370904981. The reversal of 3370904964 is 4694090733.

3370904964 is a `hidden beast` number, since 3 + 3 + 70 + 90 + 496 + 4 = 666.

It is a super-2 number, since 2×3370904964² = 22726000552639682592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3370904963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201364 + ... + 217460.

It is an arithmetic number, because the mean of its divisors is an integer number (104422360).

Almost surely, 2^3370904964 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 3370904964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012273280).

3370904964 is an abundant number, since it is smaller than the sum of its proper divisors (6653641596).

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

3370904964 is a wasteful number, since it uses less digits than its factorization.

3370904964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16394 (or 16386 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3370904964 is about 58059.4950374183. The cubic root of 3370904964 is about 1499.3930824672.

The spelling of 3370904964 in words is "three billion, three hundred seventy million, nine hundred four thousand, nine hundred sixty-four".