3433596672 has 144 divisors (see below), whose sum is σ = 10054517760. Its totient is φ = 1040174080.

The previous prime is 3433596667. The next prime is 3433596697. The reversal of 3433596672 is 2766953343.

It is a super-2 number, since 2×3433596672² = 23579172211938951168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1020529 + ... + 1023887.

It is an arithmetic number, because the mean of its divisors is an integer number (69823040).

Almost surely, 2^3433596672 is an apocalyptic number.

3433596672 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 3433596672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5027258880).

3433596672 is an abundant number, since it is smaller than the sum of its proper divisors (6620921088).

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

3433596672 is an equidigital number, since it uses as much as digits as its factorization.

3433596672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411 (or 3375 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 48.

The square root of 3433596672 is about 58596.8998497361. The cubic root of 3433596672 is about 1508.6312277883.

The spelling of 3433596672 in words is "three billion, four hundred thirty-three million, five hundred ninety-six thousand, six hundred seventy-two".