3389427072 has 128 divisors (see below), whose sum is σ = 10063116000. Its totient is φ = 1123080192.

The previous prime is 3389427031. The next prime is 3389427089. The reversal of 3389427072 is 2707249833.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3389427072² = 22976431752812986368, which contains 22 as substring.

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, 595054 + ... + 600722.

Almost surely, 2^3389427072 is an apocalyptic number.

3389427072 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 3389427072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5031558000).

3389427072 is an abundant number, since it is smaller than the sum of its proper divisors (6673688928).

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

3389427072 is a wasteful number, since it uses less digits than its factorization.

3389427072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5865 (or 5847 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3389427072 is about 58218.7862463655. The cubic root of 3389427072 is about 1502.1343057191.

The spelling of 3389427072 in words is "three billion, three hundred eighty-nine million, four hundred twenty-seven thousand, seventy-two".