3405021792 has 192 divisors, whose sum is σ = 9536776704. Its totient is φ = 1062236160.

The previous prime is 3405021773. The next prime is 3405021793. The reversal of 3405021792 is 2971205043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405021793) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14999983 + ... + 15000209.

It is an arithmetic number, because the mean of its divisors is an integer number (49670712).

Almost surely, 2^3405021792 is an apocalyptic number.

3405021792 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 3405021792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4768388352).

3405021792 is an abundant number, since it is smaller than the sum of its proper divisors (6131754912).

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

3405021792 is a wasteful number, since it uses less digits than its factorization.

3405021792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 3405021792 is about 58352.5645708910. The cubic root of 3405021792 is about 1504.4345498147.

It can be divided in two parts, 34050 and 21792, that multiplied together give a square (742017600 = 27240²).

The spelling of 3405021792 in words is "three billion, four hundred five million, twenty-one thousand, seven hundred ninety-two".