3333197952 has 312 divisors, whose sum is σ = 11586735135. Its totient is φ = 952342272.

The previous prime is 3333197909. The next prime is 3333197953. The reversal of 3333197952 is 2597913333.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1666598976 + 1666598976 = 40824^2 + 40824^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=40824.

It is a super-2 number, since 2×3333197952² = 22220417174433988608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3333197898 and 3333197907.

It is not an unprimeable number, because it can be changed into a prime (3333197953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 476171133 + ... + 476171139.

Almost surely, 2^3333197952 is an apocalyptic number.

3333197952 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 3333197952

3333197952 is an abundant number, since it is smaller than the sum of its proper divisors (8253537183).

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

3333197952 is an frugal number, since it uses more digits than its factorization.

3333197952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 12 counting only the distinct ones).

The product of its digits is 459270, while the sum is 45.

The square root of 3333197952 is about 57733.8544703192. The cubic root of 3333197952 is about 1493.7813586269.

The spelling of 3333197952 in words is "three billion, three hundred thirty-three million, one hundred ninety-seven thousand, nine hundred fifty-two".