3014428032 has 384 divisors, whose sum is σ = 11456640000. Its totient is φ = 736542720.

The previous prime is 3014428019. The next prime is 3014428051. The reversal of 3014428032 is 2308244103.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 3014427987 and 3014428005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1506969 + ... + 1508967.

It is an arithmetic number, because the mean of its divisors is an integer number (29835000).

Almost surely, 2^3014428032 is an apocalyptic number.

3014428032 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 3014428032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728320000).

3014428032 is an abundant number, since it is smaller than the sum of its proper divisors (8442211968).

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

3014428032 is a wasteful number, since it uses less digits than its factorization.

3014428032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3014428032 is about 54903.8070811123. The cubic root of 3014428032 is about 1444.5579650706.

The spelling of 3014428032 in words is "three billion, fourteen million, four hundred twenty-eight thousand, thirty-two".