1354945328 has 160 divisors (see below), whose sum is σ = 3175511040. Its totient is φ = 553236480.

The previous prime is 1354945301. The next prime is 1354945349. The reversal of 1354945328 is 8235494531.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5815100 + ... + 5815332.

It is an arithmetic number, because the mean of its divisors is an integer number (19846944).

Almost surely, 2^1354945328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1354945328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587755520).

1354945328 is an abundant number, since it is smaller than the sum of its proper divisors (1820565712).

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

1354945328 is a wasteful number, since it uses less digits than its factorization.

1354945328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 349 counting only the distinct ones).

The product of its digits is 518400, while the sum is 44.

The square root of 1354945328 is about 36809.5820133834. The cubic root of 1354945328 is about 1106.5573416625.

The spelling of 1354945328 in words is "one billion, three hundred fifty-four million, nine hundred forty-five thousand, three hundred twenty-eight".