3419146976 has 96 divisors (see below), whose sum is σ = 8270760960. Its totient is φ = 1358608896.

The previous prime is 3419146967. The next prime is 3419146979. The reversal of 3419146976 is 6796419143.

It is a happy number.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3419146979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191486 + ... + 208578.

It is an arithmetic number, because the mean of its divisors is an integer number (86153760).

Almost surely, 2^3419146976 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 3419146976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4135380480).

3419146976 is an abundant number, since it is smaller than the sum of its proper divisors (4851613984).

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

3419146976 is a wasteful number, since it uses less digits than its factorization.

3419146976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17176 (or 17168 counting only the distinct ones).

The product of its digits is 979776, while the sum is 50.

The square root of 3419146976 is about 58473.4724127104. The cubic root of 3419146976 is about 1506.5119812305.

The spelling of 3419146976 in words is "three billion, four hundred nineteen million, one hundred forty-six thousand, nine hundred seventy-six".