354436387253760 has 1920 divisors, whose sum is σ = 1374208265041920. Its totient is φ = 77649008984064.

The previous prime is 354436387253657. The next prime is 354436387253761. The reversal of 354436387253760 is 67352783634453.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 354436387253691 and 354436387253700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354436387253761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 218923030231 + ... + 218923031849.

It is an arithmetic number, because the mean of its divisors is an integer number (715733471376).

Almost surely, 2^{354436387253760} is an apocalyptic number.

354436387253760 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 354436387253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687104132520960).

354436387253760 is an abundant number, since it is smaller than the sum of its proper divisors (1019771877788160).

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

354436387253760 is a wasteful number, since it uses less digits than its factorization.

354436387253760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 66.

The spelling of 354436387253760 in words is "three hundred fifty-four trillion, four hundred thirty-six billion, three hundred eighty-seven million, two hundred fifty-three thousand, seven hundred sixty".