3454364160 has 480 divisors, whose sum is σ = 13584130560. Its totient is φ = 804225024.

The previous prime is 3454364153. The next prime is 3454364171. The reversal of 3454364160 is 614634543.

3454364160 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 3 + 641 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5690577 + ... + 5691183.

It is an arithmetic number, because the mean of its divisors is an integer number (28300272).

Almost surely, 2^3454364160 is an apocalyptic number.

3454364160 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 3454364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6792065280).

3454364160 is an abundant number, since it is smaller than the sum of its proper divisors (10129766400).

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

3454364160 is a wasteful number, since it uses less digits than its factorization.

3454364160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3454364160 is about 58773.8390782838. The cubic root of 3454364160 is about 1511.6666771747. Note that the first 4 decimals are identical.

The spelling of 3454364160 in words is "three billion, four hundred fifty-four million, three hundred sixty-four thousand, one hundred sixty".