3405782016 has 528 divisors, whose sum is σ = 12589344768. Its totient is φ = 862617600.

The previous prime is 3405781997. The next prime is 3405782041. The reversal of 3405782016 is 6102875043.

It is a super-2 number, since 2×3405782016² = 23198702281018048512, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25998271 + ... + 25998401.

It is an arithmetic number, because the mean of its divisors is an integer number (23843456).

Almost surely, 2^3405782016 is an apocalyptic number.

3405782016 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 3405782016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6294672384).

3405782016 is an abundant number, since it is smaller than the sum of its proper divisors (9183562752).

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

3405782016 is a wasteful number, since it uses less digits than its factorization.

3405782016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3405782016 is about 58359.0782655107. The cubic root of 3405782016 is about 1504.5465042764.

The spelling of 3405782016 in words is "three billion, four hundred five million, seven hundred eighty-two thousand, sixteen".