354775680 has 384 divisors, whose sum is σ = 1465128000. Its totient is φ = 80898048.

The previous prime is 354775679. The next prime is 354775717. The reversal of 354775680 is 86577453.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 846511 + ... + 846929.

Almost surely, 2^354775680 is an apocalyptic number.

354775680 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 354775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732564000).

354775680 is an abundant number, since it is smaller than the sum of its proper divisors (1110352320).

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

354775680 is a wasteful number, since it uses less digits than its factorization.

354775680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 354775680 is about 18835.4899060258. The cubic root of 354775680 is about 707.9207035580.

The spelling of 354775680 in words is "three hundred fifty-four million, seven hundred seventy-five thousand, six hundred eighty".