354428410500 has 288 divisors, whose sum is σ = 1144761351552. Its totient is φ = 92278368000.

The previous prime is 354428410477. The next prime is 354428410519. The reversal of 354428410500 is 5014824453.

It is a happy number.

354428410500 is a `hidden beast` number, since 3 + 544 + 2 + 8 + 4 + 105 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50319979 + ... + 50327021.

It is an arithmetic number, because the mean of its divisors is an integer number (3974865804).

Almost surely, 2^354428410500 is an apocalyptic number.

354428410500 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 354428410500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572380675776).

354428410500 is an abundant number, since it is smaller than the sum of its proper divisors (790332941052).

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

354428410500 is a wasteful number, since it uses less digits than its factorization.

354428410500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7332 (or 7317 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 354428410500 in words is "three hundred fifty-four billion, four hundred twenty-eight million, four hundred ten thousand, five hundred".