3419387136 has 432 divisors, whose sum is σ = 11785213440. Its totient is φ = 977909760.

The previous prime is 3419387029. The next prime is 3419387171. The reversal of 3419387136 is 6317839143.

3419387136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

Its product of digits (326592) is a multiple of the sum of its prime factors (324).

It is a junction number, because it is equal to n+sod(n) for n = 3419387091 and 3419387100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13001341 + ... + 13001603.

Almost surely, 2^3419387136 is an apocalyptic number.

3419387136 is a gapful number since it is divisible by the number (36) 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 3419387136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892606720).

3419387136 is an abundant number, since it is smaller than the sum of its proper divisors (8365826304).

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

3419387136 is a wasteful number, since it uses less digits than its factorization.

3419387136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 298 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 3419387136 is about 58475.5259574465. The cubic root of 3419387136 is about 1506.5472527421.

The spelling of 3419387136 in words is "three billion, four hundred nineteen million, three hundred eighty-seven thousand, one hundred thirty-six".