3334000032 has 144 divisors (see below), whose sum is σ = 10369876608. Its totient is φ = 1007677440.

The previous prime is 3334000027. The next prime is 3334000057. The reversal of 3334000032 is 2300004333.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3334000032² = 22231112426752002048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3333999969 and 3334000014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1465648 + ... + 1467920.

It is an arithmetic number, because the mean of its divisors is an integer number (72013032).

Almost surely, 2^3334000032 is an apocalyptic number.

3334000032 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 3334000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184938304).

3334000032 is an abundant number, since it is smaller than the sum of its proper divisors (7035876576).

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

3334000032 is a wasteful number, since it uses less digits than its factorization.

3334000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 3334000032 is about 57740.8004101086. The cubic root of 3334000032 is about 1493.9011670990.

Adding to 3334000032 its reverse (2300004333), we get a palindrome (5634004365).

The spelling of 3334000032 in words is "three billion, three hundred thirty-four million, thirty-two", and thus it is an aban number.