3454857504 has 216 divisors, whose sum is σ = 12101914188. Its totient is φ = 928972800.

The previous prime is 3454857503. The next prime is 3454857517. The reversal of 3454857504 is 4057584543.

3454857504 is a `hidden beast` number, since 3 + 4 + 548 + 57 + 50 + 4 = 666.

3454857504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2565625104 + 889232400 = 50652^2 + 29820^2 .

It is a super-2 number, since 2×3454857504² = 23872080745890220032, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3454857504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3454857503) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 232704 + ... + 247104.

Almost surely, 2^3454857504 is an apocalyptic number.

3454857504 is a gapful number since it is divisible by the number (34) 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 3454857504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6050957094).

3454857504 is an abundant number, since it is smaller than the sum of its proper divisors (8647056684).

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

3454857504 is a wasteful number, since it uses less digits than its factorization.

3454857504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14448 (or 14430 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The square root of 3454857504 is about 58778.0358977739. The cubic root of 3454857504 is about 1511.7386379515.

The spelling of 3454857504 in words is "three billion, four hundred fifty-four million, eight hundred fifty-seven thousand, five hundred four".