3454894080 has 512 divisors, whose sum is σ = 13589337600. Its totient is φ = 825753600.

The previous prime is 3454894073. The next prime is 3454894081. The reversal of 3454894080 is 804984543.

It is a happy number.

3454894080 is a `hidden beast` number, since 3 + 454 + 89 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3454894081) 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, 48660445 + ... + 48660515.

It is an arithmetic number, because the mean of its divisors is an integer number (26541675).

Almost surely, 2^3454894080 is an apocalyptic number.

3454894080 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 3454894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6794668800).

3454894080 is an abundant number, since it is smaller than the sum of its proper divisors (10134443520).

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

3454894080 is an equidigital number, since it uses as much as digits as its factorization.

3454894080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3454894080 is about 58778.3470335803. The cubic root of 3454894080 is about 1511.7439727743.

The spelling of 3454894080 in words is "three billion, four hundred fifty-four million, eight hundred ninety-four thousand, eighty".