354235680000 has 630 divisors, whose sum is σ = 1325195234594. Its totient is φ = 94431744000.

The previous prime is 354235679981. The next prime is 354235680013. The reversal of 354235680000 is 86532453.

It is a happy number.

354235680000 is a `hidden beast` number, since 3 + 542 + 35 + 6 + 80 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 76919694336 + 277315985664 = 277344^2 + 526608^2 .

It is a super-3 number, since 3×354235680000³ (a number of 36 digits) contains 333 as substring.

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 69 ways as a sum of consecutive naturals, for example, 116638482 + ... + 116641518.

Almost surely, 2^354235680000 is an apocalyptic number.

354235680000 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 354235680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662597617297).

354235680000 is an abundant number, since it is smaller than the sum of its proper divisors (970959554594).

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

354235680000 is an frugal number, since it uses more digits than its factorization.

354235680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 354235680000 in words is "three hundred fifty-four billion, two hundred thirty-five million, six hundred eighty thousand".