354880880640 has 1920 divisors, whose sum is σ = 1594637989560. Its totient is φ = 74742497280.

The previous prime is 354880880621. The next prime is 354880880647. The reversal of 354880880640 is 46088088453.

It can be written as a sum of positive squares in 4 ways, for example, as 269934280704 + 84946599936 = 519552^2 + 291456^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is not an unprimeable number, because it can be changed into a prime (354880880647) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20875345912 + ... + 20875345928.

Almost surely, 2^354880880640 is an apocalyptic number.

354880880640 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 354880880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797318994780).

354880880640 is an abundant number, since it is smaller than the sum of its proper divisors (1239757108920).

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

354880880640 is a wasteful number, since it uses less digits than its factorization.

354880880640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 354880880640 in words is "three hundred fifty-four billion, eight hundred eighty million, eight hundred eighty thousand, six hundred forty".