354258745344 has 384 divisors, whose sum is σ = 1206249408000. Its totient is φ = 100631642112.

The previous prime is 354258745333. The next prime is 354258745361. The reversal of 354258745344 is 443547852453.

354258745344 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 587 + 4 + 53 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×354258745344³ (a number of 36 digits) contains 333 as substring.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 69283332 + ... + 69288444.

It is an arithmetic number, because the mean of its divisors is an integer number (3141274500).

Almost surely, 2^354258745344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354258745344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603124704000).

354258745344 is an abundant number, since it is smaller than the sum of its proper divisors (851990662656).

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

354258745344 is a wasteful number, since it uses less digits than its factorization.

354258745344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5330 (or 5304 counting only the distinct ones).

The product of its digits is 32256000, while the sum is 54.

The spelling of 354258745344 in words is "three hundred fifty-four billion, two hundred fifty-eight million, seven hundred forty-five thousand, three hundred forty-four".