354417253920 has 1152 divisors, whose sum is σ = 1414090137600. Its totient is φ = 82640093184.

The previous prime is 354417253873. The next prime is 354417253921. The reversal of 354417253920 is 29352714453.

It is a happy number.

354417253920 is a `hidden beast` number, since 3 + 5 + 4 + 41 + 72 + 539 + 2 + 0 = 666.

It is a super-3 number, since 3×354417253920³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (354417253921) 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, 1589314929 + ... + 1589315151.

It is an arithmetic number, because the mean of its divisors is an integer number (1227508800).

Almost surely, 2^354417253920 is an apocalyptic number.

354417253920 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 354417253920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707045068800).

354417253920 is an abundant number, since it is smaller than the sum of its proper divisors (1059672883680).

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

354417253920 is a wasteful number, since it uses less digits than its factorization.

354417253920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 354417253920 in words is "three hundred fifty-four billion, four hundred seventeen million, two hundred fifty-three thousand, nine hundred twenty".