1354216320 has 320 divisors, whose sum is σ = 4896318240. Its totient is φ = 356659200.

The previous prime is 1354216313. The next prime is 1354216343. The reversal of 1354216320 is 236124531.

1354216320 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 21 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7827754 + ... + 7827926.

Almost surely, 2^1354216320 is an apocalyptic number.

1354216320 is a gapful number since it is divisible by the number (10) 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 1354216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448159120).

1354216320 is an abundant number, since it is smaller than the sum of its proper divisors (3542101920).

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

1354216320 is a wasteful number, since it uses less digits than its factorization.

1354216320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1354216320 is about 36799.6782594631. The cubic root of 1354216320 is about 1106.3588505360.

The spelling of 1354216320 in words is "one billion, three hundred fifty-four million, two hundred sixteen thousand, three hundred twenty".