3419256864 has 96 divisors (see below), whose sum is σ = 9074128896. Its totient is φ = 1127312640.

The previous prime is 3419256847. The next prime is 3419256923. The reversal of 3419256864 is 4686529143.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3419256864² = 23382635004022228992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4344279 + ... + 4345065.

It is an arithmetic number, because the mean of its divisors is an integer number (94522176).

Almost surely, 2^3419256864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3419256864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4537064448).

3419256864 is an abundant number, since it is smaller than the sum of its proper divisors (5654872032).

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

3419256864 is a wasteful number, since it uses less digits than its factorization.

3419256864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1230 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 3419256864 is about 58474.4120449278. The cubic root of 3419256864 is about 1506.5281203256.

The spelling of 3419256864 in words is "three billion, four hundred nineteen million, two hundred fifty-six thousand, eight hundred sixty-four".