3331124034 has 64 divisors (see below), whose sum is σ = 8130723840. Its totient is φ = 889277760.

The previous prime is 3331124029. The next prime is 3331124047. The reversal of 3331124034 is 4304211333.

It is a super-3 number, since 3×3331124034³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3331123995 and 3331124013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6354 + ... + 81869.

It is an arithmetic number, because the mean of its divisors is an integer number (127042560).

Almost surely, 2^3331124034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3331124034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065361920).

3331124034 is an abundant number, since it is smaller than the sum of its proper divisors (4799599806).

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

3331124034 is a wasteful number, since it uses less digits than its factorization.

3331124034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88295.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3331124034 is about 57715.8906541344. The cubic root of 3331124034 is about 1493.4714837624.

Adding to 3331124034 its reverse (4304211333), we get a palindrome (7635335367).

The spelling of 3331124034 in words is "three billion, three hundred thirty-one million, one hundred twenty-four thousand, thirty-four".