354746112 has 288 divisors, whose sum is σ = 1193041920. Its totient is φ = 91238400.

The previous prime is 354746107. The next prime is 354746137. The reversal of 354746112 is 211647453.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2349237 + ... + 2349387.

Almost surely, 2^354746112 is an apocalyptic number.

354746112 is a gapful number since it is divisible by the number (32) 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 354746112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596520960).

354746112 is an abundant number, since it is smaller than the sum of its proper divisors (838295808).

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

354746112 is a wasteful number, since it uses less digits than its factorization.

354746112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 205 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 354746112 is about 18834.7049883984. The cubic root of 354746112 is about 707.9010363128.

The spelling of 354746112 in words is "three hundred fifty-four million, seven hundred forty-six thousand, one hundred twelve".