3419144040 has 256 divisors, whose sum is σ = 11768198400. Its totient is φ = 787267584.

The previous prime is 3419144033. The next prime is 3419144059. The reversal of 3419144040 is 404419143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3419143989 and 3419144007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6072799 + ... + 6073361.

It is an arithmetic number, because the mean of its divisors is an integer number (45969525).

Almost surely, 2^3419144040 is an apocalyptic number.

3419144040 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 3419144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5884099200).

3419144040 is an abundant number, since it is smaller than the sum of its proper divisors (8349054360).

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

3419144040 is a wasteful number, since it uses less digits than its factorization.

3419144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3419144040 is about 58473.4473073035. The cubic root of 3419144040 is about 1506.5115500196.

The spelling of 3419144040 in words is "three billion, four hundred nineteen million, one hundred forty-four thousand, forty".