3419914417920 has 4608 divisors, whose sum is σ = 17695951257600. Its totient is φ = 606990827520.

The previous prime is 3419914417919. The next prime is 3419914417921. The reversal of 3419914417920 is 297144199143.

It is a happy number.

3419914417920 is a `hidden beast` number, since 3 + 4 + 199 + 1 + 441 + 7 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3419914417919) and next prime (3419914417921).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3419914417921) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 79532893419 + ... + 79532893461.

It is an arithmetic number, because the mean of its divisors is an integer number (3840267200).

Almost surely, 2^{3419914417920} is an apocalyptic number.

3419914417920 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 3419914417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8847975628800).

3419914417920 is an abundant number, since it is smaller than the sum of its proper divisors (14276036839680).

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

3419914417920 is a wasteful number, since it uses less digits than its factorization.

3419914417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 3419914417920 in words is "three trillion, four hundred nineteen billion, nine hundred fourteen million, four hundred seventeen thousand, nine hundred twenty".