3364949952 has 420 divisors, whose sum is σ = 12508123320. Its totient is φ = 886588416.

The previous prime is 3364949881. The next prime is 3364949957. The reversal of 3364949952 is 2599494633.

It is a super-2 number, since 2×3364949952² = 22645776358929604608, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3364949957) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3301699 + ... + 3302717.

It is an arithmetic number, because the mean of its divisors is an integer number (29781246).

Almost surely, 2^3364949952 is an apocalyptic number.

3364949952 is a gapful number since it is divisible by the number (32) 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 3364949952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6254061660).

3364949952 is an abundant number, since it is smaller than the sum of its proper divisors (9143173368).

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

3364949952 is a wasteful number, since it uses less digits than its factorization.

3364949952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1044 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 54.

The square root of 3364949952 is about 58008.1886633258. The cubic root of 3364949952 is about 1498.5096236760.

The spelling of 3364949952 in words is "three billion, three hundred sixty-four million, nine hundred forty-nine thousand, nine hundred fifty-two".