3382701920 has 96 divisors (see below), whose sum is σ = 8622065088. Its totient is φ = 1246722048.

The previous prime is 3382701913. The next prime is 3382701923. The reversal of 3382701920 is 291072833.

It is a Cunningham number, because it is equal to 58161²-1.

It is a super-2 number, since 2×3382701920² = 22885344559143372800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3382701923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1511042 + ... + 1513278.

It is an arithmetic number, because the mean of its divisors is an integer number (89813178).

Almost surely, 2^3382701920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3382701920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4311032544).

3382701920 is an abundant number, since it is smaller than the sum of its proper divisors (5239363168).

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

3382701920 is a wasteful number, since it uses less digits than its factorization.

3382701920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2984 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 3382701920 is about 58160.9999914032. Note that the first 5 decimals coincide. The cubic root of 3382701920 is about 1501.1401583249.

The spelling of 3382701920 in words is "three billion, three hundred eighty-two million, seven hundred one thousand, nine hundred twenty".