3364883964 has 288 divisors, whose sum is σ = 10297190400. Its totient is φ = 946183680.

The previous prime is 3364883959. The next prime is 3364883971. The reversal of 3364883964 is 4693884633.

It is a super-2 number, since 2×3364883964² = 22644888182368706592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3364883964.

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, 10750272 + ... + 10750584.

Almost surely, 2^3364883964 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 3364883964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5148595200).

3364883964 is an abundant number, since it is smaller than the sum of its proper divisors (6932306436).

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

3364883964 is a wasteful number, since it uses less digits than its factorization.

3364883964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 381 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The square root of 3364883964 is about 58007.6198787711. The cubic root of 3364883964 is about 1498.4998281565.

The spelling of 3364883964 in words is "three billion, three hundred sixty-four million, eight hundred eighty-three thousand, nine hundred sixty-four".