3436023240 has 480 divisors, whose sum is σ = 13013680680. Its totient is φ = 808206336.

The previous prime is 3436023233. The next prime is 3436023259. The reversal of 3436023240 is 423206343.

It is a happy number.

3436023240 is a `hidden beast` number, since 34 + 3 + 602 + 3 + 24 + 0 = 666.

3436023240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 53670276 + 3382352964 = 7326^2 + 58158^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 35422872 + ... + 35422968.

Almost surely, 2^3436023240 is an apocalyptic number.

3436023240 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 3436023240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6506840340).

3436023240 is an abundant number, since it is smaller than the sum of its proper divisors (9577657440).

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

3436023240 is a wasteful number, since it uses less digits than its factorization.

3436023240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3436023240 is about 58617.6017933180. The cubic root of 3436023240 is about 1508.9865339557.

Adding to 3436023240 its reverse (423206343), we get a palindrome (3859229583).

It can be divided in two parts, 34360 and 23240, that added together give a square (57600 = 240²).

The spelling of 3436023240 in words is "three billion, four hundred thirty-six million, twenty-three thousand, two hundred forty".