354800880 has 480 divisors, whose sum is σ = 1491654528. Its totient is φ = 73728000.

The previous prime is 354800867. The next prime is 354800891. The reversal of 354800880 is 88008453.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3512830 + ... + 3512930.

Almost surely, 2^354800880 is an apocalyptic number.

354800880 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 354800880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745827264).

354800880 is an abundant number, since it is smaller than the sum of its proper divisors (1136853648).

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

354800880 is a wasteful number, since it uses less digits than its factorization.

354800880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 354800880 is about 18836.1588440956. The cubic root of 354800880 is about 707.9374645522.

The spelling of 354800880 in words is "three hundred fifty-four million, eight hundred thousand, eight hundred eighty".