3403035880650 has 720 divisors, whose sum is σ = 11409878973240. Its totient is φ = 748940774400.

The previous prime is 3403035880619. The next prime is 3403035880681. The reversal of 3403035880650 is 560885303043.

3403035880650 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 0 + 3 + 588 + 0 + 65 + 0 = 666.

3403035880650 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3403035880619) and next prime (3403035880681).

It can be written as a sum of positive squares in 12 ways, for example, as 909892777689 + 2493143102961 = 953883^2 + 1578969^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 3403035880596 and 3403035880605.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3113481504 + ... + 3113482596.

Almost surely, 2^{3403035880650} is an apocalyptic number.

3403035880650 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3403035880650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5704939486620).

3403035880650 is an abundant number, since it is smaller than the sum of its proper divisors (8006843092590).

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

3403035880650 is a wasteful number, since it uses less digits than its factorization.

3403035880650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 3403035880650 in words is "three trillion, four hundred three billion, thirty-five million, eight hundred eighty thousand, six hundred fifty".