3413804940 has 672 divisors, whose sum is σ = 13820276736. Its totient is φ = 688642560.

The previous prime is 3413804893. The next prime is 3413804957. The reversal of 3413804940 is 494083143.

3413804940 is a `hidden beast` number, since 34 + 138 + 0 + 494 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 3413804895 and 3413804904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 41130139 + ... + 41130221.

It is an arithmetic number, because the mean of its divisors is an integer number (20565888).

Almost surely, 2^3413804940 is an apocalyptic number.

3413804940 is a gapful number since it is divisible by the number (30) 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 3413804940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6910138368).

3413804940 is an abundant number, since it is smaller than the sum of its proper divisors (10406471796).

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

3413804940 is a wasteful number, since it uses less digits than its factorization.

3413804940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3413804940 is about 58427.7754154649. The cubic root of 3413804940 is about 1505.7269865889.

The spelling of 3413804940 in words is "three billion, four hundred thirteen million, eight hundred four thousand, nine hundred forty".