3428917402656 has 48 divisors (see below), whose sum is σ = 9027617193504. Its totient is φ = 1139580847104.

The previous prime is 3428917402643. The next prime is 3428917402657. The reversal of 3428917402656 is 6562047198243.

3428917402656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 3428917402596 and 3428917402605.

It is not an unprimeable number, because it can be changed into a prime (3428917402657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52961550 + ... + 53026253.

It is an arithmetic number, because the mean of its divisors is an integer number (188075358198).

It is a 1-persistent number, because it is pandigital, but 2⋅3428917402656 = 6857834805312 is not.

Almost surely, 2^{3428917402656} is an apocalyptic number.

It is an amenable number.

3428917402656 is an abundant number, since it is smaller than the sum of its proper divisors (5598699790848).

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

3428917402656 is a wasteful number, since it uses less digits than its factorization.

3428917402656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105988153 (or 105988145 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 3428917402656 in words is "three trillion, four hundred twenty-eight billion, nine hundred seventeen million, four hundred two thousand, six hundred fifty-six".