354645353700 has 864 divisors, whose sum is σ = 1312257343488. Its totient is φ = 82301184000.

The previous prime is 354645353687. The next prime is 354645353717. The reversal of 354645353700 is 7353546453.

It is a happy number.

354645353700 is a `hidden beast` number, since 3 + 5 + 4 + 64 + 53 + 537 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1052359932 + ... + 1052360268.

Almost surely, 2^354645353700 is an apocalyptic number.

354645353700 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 354645353700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656128671744).

354645353700 is an abundant number, since it is smaller than the sum of its proper divisors (957611989788).

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

354645353700 is a wasteful number, since it uses less digits than its factorization.

354645353700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 45.

The spelling of 354645353700 in words is "three hundred fifty-four billion, six hundred forty-five million, three hundred fifty-three thousand, seven hundred".