354428835840 has 672 divisors, whose sum is σ = 1293337281600. Its totient is φ = 93162700800.

The previous prime is 354428835821. The next prime is 354428835841. The reversal of 354428835840 is 48538824453.

354428835840 is a `hidden beast` number, since 3 + 5 + 4 + 4 + 288 + 358 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354428835841) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 589731540 + ... + 589732140.

It is an arithmetic number, because the mean of its divisors is an integer number (1924609050).

Almost surely, 2^354428835840 is an apocalyptic number.

354428835840 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 354428835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646668640800).

354428835840 is an abundant number, since it is smaller than the sum of its proper divisors (938908445760).

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

354428835840 is an frugal number, since it uses more digits than its factorization.

354428835840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 354428835840 in words is "three hundred fifty-four billion, four hundred twenty-eight million, eight hundred thirty-five thousand, eight hundred forty".