3409536240 has 400 divisors, whose sum is σ = 13343717376. Its totient is φ = 799372800.

The previous prime is 3409536233. The next prime is 3409536253. The reversal of 3409536240 is 426359043.

3409536240 is a `hidden beast` number, since 3 + 409 + 5 + 3 + 6 + 240 = 666.

3409536240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3409536195 and 3409536204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2208909 + ... + 2210451.

Almost surely, 2^3409536240 is an apocalyptic number.

3409536240 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 3409536240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6671858688).

3409536240 is an abundant number, since it is smaller than the sum of its proper divisors (9934181136).

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

3409536240 is a wasteful number, since it uses less digits than its factorization.

3409536240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3409536240 is about 58391.2342736476. The cubic root of 3409536240 is about 1505.0991262988.

The spelling of 3409536240 in words is "three billion, four hundred nine million, five hundred thirty-six thousand, two hundred forty".