354363382800 has 360 divisors, whose sum is σ = 1466523886464. Its totient is φ = 77475594240.

The previous prime is 354363382799. The next prime is 354363382819. The reversal of 354363382800 is 8283363453.

354363382800 is a `hidden beast` number, since 3 + 5 + 4 + 3 + 633 + 8 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 273904 + ... + 885296.

Almost surely, 2^354363382800 is an apocalyptic number.

354363382800 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 354363382800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733261943232).

354363382800 is an abundant number, since it is smaller than the sum of its proper divisors (1112160503664).

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

354363382800 is a wasteful number, since it uses less digits than its factorization.

354363382800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611447 (or 611433 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 354363382800 in words is "three hundred fifty-four billion, three hundred sixty-three million, three hundred eighty-two thousand, eight hundred".