354240961200 has 1200 divisors, whose sum is σ = 1559244487680. Its totient is φ = 75177123840.

The previous prime is 354240961181. The next prime is 354240961237. The reversal of 354240961200 is 2169042453.

It is a happy number.

354240961200 is a `hidden beast` number, since 3 + 5 + 42 + 409 + 6 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-3 number, since 3×354240961200³ (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 304591819 + ... + 304592981.

Almost surely, 2^354240961200 is an apocalyptic number.

354240961200 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 354240961200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779622243840).

354240961200 is an abundant number, since it is smaller than the sum of its proper divisors (1205003526480).

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

354240961200 is a wasteful number, since it uses less digits than its factorization.

354240961200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 354240961200 in words is "three hundred fifty-four billion, two hundred forty million, nine hundred sixty-one thousand, two hundred".