3406770432 has 216 divisors, whose sum is σ = 10687045824. Its totient is φ = 1037463552.

The previous prime is 3406770427. The next prime is 3406770439. The reversal of 3406770432 is 2340776043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3406770439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3204333 + ... + 3205395.

It is an arithmetic number, because the mean of its divisors is an integer number (49477064).

Almost surely, 2^3406770432 is an apocalyptic number.

3406770432 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 3406770432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343522912).

3406770432 is an abundant number, since it is smaller than the sum of its proper divisors (7280275392).

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

3406770432 is a wasteful number, since it uses less digits than its factorization.

3406770432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 3406770432 is about 58367.5460508663. The cubic root of 3406770432 is about 1504.6920385464.

The spelling of 3406770432 in words is "three billion, four hundred six million, seven hundred seventy thousand, four hundred thirty-two".