3404758500 has 648 divisors, whose sum is σ = 13129624872. Its totient is φ = 741312000.

The previous prime is 3404758499. The next prime is 3404758559. The reversal of 3404758500 is 58574043.

3404758500 is a `hidden beast` number, since 34 + 0 + 47 + 585 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2865032676 + 539725824 = 53526^2 + 23232^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 92020482 + ... + 92020518.

Almost surely, 2^3404758500 is an apocalyptic number.

3404758500 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 3404758500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6564812436).

3404758500 is an abundant number, since it is smaller than the sum of its proper divisors (9724866372).

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

3404758500 is a wasteful number, since it uses less digits than its factorization.

3404758500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 3404758500 is about 58350.3084824751. The cubic root of 3404758500 is about 1504.3957722076.

The spelling of 3404758500 in words is "three billion, four hundred four million, seven hundred fifty-eight thousand, five hundred".