3419394720 has 192 divisors, whose sum is σ = 12426172416. Its totient is φ = 774190080.

The previous prime is 3419394709. The next prime is 3419394731. The reversal of 3419394720 is 274939143.

It is an interprime number because it is at equal distance from previous prime (3419394709) and next prime (3419394731).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354765 + ... + 364275.

It is an arithmetic number, because the mean of its divisors is an integer number (64719648).

Almost surely, 2^3419394720 is an apocalyptic number.

3419394720 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 3419394720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6213086208).

3419394720 is an abundant number, since it is smaller than the sum of its proper divisors (9006777696).

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

3419394720 is a wasteful number, since it uses less digits than its factorization.

3419394720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9643 (or 9635 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 3419394720 is about 58475.5908050530. The cubic root of 3419394720 is about 1506.5483665524.

The spelling of 3419394720 in words is "three billion, four hundred nineteen million, three hundred ninety-four thousand, seven hundred twenty".