3406390416 has 320 divisors, whose sum is σ = 11672586240. Its totient is φ = 937474560.

The previous prime is 3406390411. The next prime is 3406390417. The reversal of 3406390416 is 6140936043.

3406390416 is a `hidden beast` number, since 3 + 4 + 0 + 639 + 0 + 4 + 16 = 666.

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 (3406390411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4138581 + ... + 4139403.

It is an arithmetic number, because the mean of its divisors is an integer number (36476832).

Almost surely, 2^3406390416 is an apocalyptic number.

3406390416 is a gapful number since it is divisible by the number (36) 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 3406390416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5836293120).

3406390416 is an abundant number, since it is smaller than the sum of its proper divisors (8266195824).

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

3406390416 is a wasteful number, since it uses less digits than its factorization.

3406390416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3406390416 is about 58364.2905893664. The cubic root of 3406390416 is about 1504.6360883609.

The spelling of 3406390416 in words is "three billion, four hundred six million, three hundred ninety thousand, four hundred sixteen".