3419974656000 has 1792 divisors, whose sum is σ = 14838877347840. Its totient is φ = 760872960000.

The previous prime is 3419974655987. The next prime is 3419974656023. The reversal of 3419974656000 is 6564799143.

3419974656000 is a `hidden beast` number, since 3 + 4 + 1 + 9 + 9 + 74 + 6 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 7934975785 + ... + 7934976215.

It is an arithmetic number, because the mean of its divisors is an integer number (8280623520).

Almost surely, 2^{3419974656000} is an apocalyptic number.

3419974656000 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 3419974656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7419438673920).

3419974656000 is an abundant number, since it is smaller than the sum of its proper divisors (11418902691840).

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

3419974656000 is an equidigital number, since it uses as much as digits as its factorization.

3419974656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 3419974656000 in words is "three trillion, four hundred nineteen billion, nine hundred seventy-four million, six hundred fifty-six thousand".