3419707872 has 192 divisors, whose sum is σ = 10502037504. Its totient is φ = 954201600.

The previous prime is 3419707859. The next prime is 3419707877. The reversal of 3419707872 is 2787079143.

3419707872 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3419707877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6798373 + ... + 6798875.

It is an arithmetic number, because the mean of its divisors is an integer number (54698112).

Almost surely, 2^3419707872 is an apocalyptic number.

3419707872 is a gapful number since it is divisible by the number (32) 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 3419707872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5251018752).

3419707872 is an abundant number, since it is smaller than the sum of its proper divisors (7082329632).

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

3419707872 is a wasteful number, since it uses less digits than its factorization.

3419707872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The square root of 3419707872 is about 58478.2683738156. The cubic root of 3419707872 is about 1506.5943556110.

The spelling of 3419707872 in words is "three billion, four hundred nineteen million, seven hundred seven thousand, eight hundred seventy-two".