3419781120 has 960 divisors, whose sum is σ = 15221606400. Its totient is φ = 716636160.

The previous prime is 3419781091. The next prime is 3419781161. The reversal of 3419781120 is 211879143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 110315505 + ... + 110315535.

It is an arithmetic number, because the mean of its divisors is an integer number (15855840).

Almost surely, 2^3419781120 is an apocalyptic number.

3419781120 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 3419781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7610803200).

3419781120 is an abundant number, since it is smaller than the sum of its proper divisors (11801825280).

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

3419781120 is a wasteful number, since it uses less digits than its factorization.

3419781120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 3419781120 is about 58478.8946543965. The cubic root of 3419781120 is about 1506.6051123033.

The spelling of 3419781120 in words is "three billion, four hundred nineteen million, seven hundred eighty-one thousand, one hundred twenty".