354943680 has 448 divisors, whose sum is σ = 1474744320. Its totient is φ = 70189056.

The previous prime is 354943679. The next prime is 354943691. The reversal of 354943680 is 86349453.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1485001 + ... + 1485239.

It is an arithmetic number, because the mean of its divisors is an integer number (3291840).

Almost surely, 2^354943680 is an apocalyptic number.

354943680 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 354943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737372160).

354943680 is an abundant number, since it is smaller than the sum of its proper divisors (1119800640).

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

354943680 is a wasteful number, since it uses less digits than its factorization.

354943680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 354943680 is about 18839.9490445171. The cubic root of 354943680 is about 708.0324285316.

The spelling of 354943680 in words is "three hundred fifty-four million, nine hundred forty-three thousand, six hundred eighty".