3419630379648 has 1280 divisors, whose sum is σ = 12457228861440. Its totient is φ = 910665400320.

The previous prime is 3419630379563. The next prime is 3419630379653. The reversal of 3419630379648 is 8469730369143.

3419630379648 is a `hidden beast` number, since 3 + 4 + 196 + 30 + 379 + 6 + 48 = 666.

It is a super-2 number, since 2×3419630379648² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 159 ways as a sum of consecutive naturals, for example, 7719255715 + ... + 7719256157.

It is an arithmetic number, because the mean of its divisors is an integer number (9732210048).

Almost surely, 2^{3419630379648} 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 3419630379648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6228614430720).

3419630379648 is an abundant number, since it is smaller than the sum of its proper divisors (9037598481792).

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

3419630379648 is a wasteful number, since it uses less digits than its factorization.

3419630379648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 3419630379648 in words is "three trillion, four hundred nineteen billion, six hundred thirty million, three hundred seventy-nine thousand, six hundred forty-eight".