354348000 has 384 divisors, whose sum is σ = 1372775040. Its totient is φ = 88473600.

The previous prime is 354347933. The next prime is 354348019. The reversal of 354348000 is 843453.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1835904 + ... + 1836096.

It is an arithmetic number, because the mean of its divisors is an integer number (3574935).

Almost surely, 2^354348000 is an apocalyptic number.

354348000 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 354348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686387520).

354348000 is an abundant number, since it is smaller than the sum of its proper divisors (1018427040).

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

354348000 is a wasteful number, since it uses less digits than its factorization.

354348000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 354348000 is about 18824.1334461908. The cubic root of 354348000 is about 707.6361244235.

It can be divided in two parts, 35434 and 8000, that added together give a palindrome (43434).

The spelling of 354348000 in words is "three hundred fifty-four million, three hundred forty-eight thousand".