3723256516434 has 384 divisors, whose sum is σ = 10461551708160. Its totient is φ = 870135146496.

The previous prime is 3723256516433. The next prime is 3723256516493. The reversal of 3723256516434 is 4346156523273.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (3723256516433) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 201215227 + ... + 201233729.

It is an arithmetic number, because the mean of its divisors is an integer number (27243624240).

Almost surely, 2^{3723256516434} is an apocalyptic number.

3723256516434 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3723256516434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5230775854080).

3723256516434 is an abundant number, since it is smaller than the sum of its proper divisors (6738295191726).

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

3723256516434 is a wasteful number, since it uses less digits than its factorization.

3723256516434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18734 (or 18727 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 51.

The spelling of 3723256516434 in words is "three trillion, seven hundred twenty-three billion, two hundred fifty-six million, five hundred sixteen thousand, four hundred thirty-four".