354120000 has 280 divisors, whose sum is σ = 1266419616. Its totient is φ = 86784000.

The previous prime is 354119989. The next prime is 354120017. The reversal of 354120000 is 21453.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1559887 + ... + 1560113.

Almost surely, 2^354120000 is an apocalyptic number.

354120000 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 354120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633209808).

354120000 is an abundant number, since it is smaller than the sum of its proper divisors (912299616).

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

354120000 is a wasteful number, since it uses less digits than its factorization.

354120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 354120000 is about 18818.0764160421. The cubic root of 354120000 is about 707.4843191803.

Adding to 354120000 its reverse (21453), we get a palindrome (354141453).

The spelling of 354120000 in words is "three hundred fifty-four million, one hundred twenty thousand".