3428446500 has 120 divisors (see below), whose sum is σ = 11185502328. Its totient is φ = 914241600.

The previous prime is 3428446499. The next prime is 3428446513. The reversal of 3428446500 is 56448243.

3428446500 is a `hidden beast` number, since 34 + 2 + 84 + 46 + 500 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 776402496 + 2652044004 = 27864^2 + 51498^2 .

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1827 + ... + 82826.

Almost surely, 2^3428446500 is an apocalyptic number.

3428446500 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 3428446500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5592751164).

3428446500 is an abundant number, since it is smaller than the sum of its proper divisors (7757055828).

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

3428446500 is a wasteful number, since it uses less digits than its factorization.

3428446500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84684 (or 84663 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 3428446500 is about 58552.9375864269. The cubic root of 3428446500 is about 1507.8765673959.

The spelling of 3428446500 in words is "three billion, four hundred twenty-eight million, four hundred forty-six thousand, five hundred".