354534401100 has 288 divisors, whose sum is σ = 1127284849152. Its totient is φ = 85317120000.

The previous prime is 354534401077. The next prime is 354534401159. The reversal of 354534401100 is 1104435453.

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

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, 366632817 + ... + 366633783.

It is an arithmetic number, because the mean of its divisors is an integer number (3914183504).

Almost surely, 2^354534401100 is an apocalyptic number.

354534401100 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 354534401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563642424576).

354534401100 is an abundant number, since it is smaller than the sum of its proper divisors (772750448052).

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

354534401100 is a wasteful number, since it uses less digits than its factorization.

354534401100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 354534401100 its reverse (1104435453), we get a palindrome (355638836553).

The spelling of 354534401100 in words is "three hundred fifty-four billion, five hundred thirty-four million, four hundred one thousand, one hundred".