3453788160 has 336 divisors, whose sum is σ = 12451604256. Its totient is φ = 918355968.

The previous prime is 3453788087. The next prime is 3453788167. The reversal of 3453788160 is 618873543.

3453788160 is a `hidden beast` number, since 34 + 537 + 8 + 81 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3453788167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9953107 + ... + 9953453.

It is an arithmetic number, because the mean of its divisors is an integer number (37058346).

Almost surely, 2^3453788160 is an apocalyptic number.

3453788160 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 3453788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6225802128).

3453788160 is an abundant number, since it is smaller than the sum of its proper divisors (8997816096).

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

3453788160 is an frugal number, since it uses more digits than its factorization.

3453788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 3453788160 is about 58768.9387346751. The cubic root of 3453788160 is about 1511.5826512521.

The spelling of 3453788160 in words is "three billion, four hundred fifty-three million, seven hundred eighty-eight thousand, one hundred sixty".