354609360 has 320 divisors, whose sum is σ = 1428480000. Its totient is φ = 79170048.

The previous prime is 354609349. The next prime is 354609383. The reversal of 354609360 is 63906453.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 710391 + ... + 710889.

It is an arithmetic number, because the mean of its divisors is an integer number (4464000).

Almost surely, 2^354609360 is an apocalyptic number.

354609360 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 354609360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714240000).

354609360 is an abundant number, since it is smaller than the sum of its proper divisors (1073870640).

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

354609360 is a wasteful number, since it uses less digits than its factorization.

354609360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 354609360 is about 18831.0743187955. The cubic root of 354609360 is about 707.8100610854.

The spelling of 354609360 in words is "three hundred fifty-four million, six hundred nine thousand, three hundred sixty".