354775789920 has 192 divisors, whose sum is σ = 1156118261760. Its totient is φ = 91354675200.

The previous prime is 354775789903. The next prime is 354775790011. The reversal of 354775789920 is 29987577453.

It is a super-2 number, since 2×354775789920² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6833821 + ... + 6885539.

It is an arithmetic number, because the mean of its divisors is an integer number (6021449280).

Almost surely, 2^354775789920 is an apocalyptic number.

354775789920 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 354775789920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578059130880).

354775789920 is an abundant number, since it is smaller than the sum of its proper divisors (801342471840).

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

354775789920 is a wasteful number, since it uses less digits than its factorization.

354775789920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52229 (or 52221 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 66.

The spelling of 354775789920 in words is "three hundred fifty-four billion, seven hundred seventy-five million, seven hundred eighty-nine thousand, nine hundred twenty".