354225000032400 has 120 divisors (see below), whose sum is σ = 1296800857292224. Its totient is φ = 80965714291200.

The previous prime is 354225000032377. The next prime is 354225000032411. The reversal of 354225000032400 is 4230000522453.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×354225000032400³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21084813031 + ... + 21084829830.

Almost surely, 2^{354225000032400} is an apocalyptic number.

354225000032400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

354225000032400 is an abundant number, since it is smaller than the sum of its proper divisors (942575857259824).

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

354225000032400 is a wasteful number, since it uses less digits than its factorization.

354225000032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42169642889 (or 42169642878 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 354225000032400 its reverse (4230000522453), we get a palindrome (358455000554853).

The spelling of 354225000032400 in words is "three hundred fifty-four trillion, two hundred twenty-five billion, thirty-two thousand, four hundred".