354799104 has 240 divisors, whose sum is σ = 1097179776. Its totient is φ = 101601280.

The previous prime is 354799097. The next prime is 354799111. The reversal of 354799104 is 401997453.

It is an interprime number because it is at equal distance from previous prime (354799097) and next prime (354799111).

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 23 ways as a sum of consecutive naturals, for example, 4274647 + ... + 4274729.

Almost surely, 2^354799104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354799104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548589888).

354799104 is an abundant number, since it is smaller than the sum of its proper divisors (742380672).

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

354799104 is a wasteful number, since it uses less digits than its factorization.

354799104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 354799104 is about 18836.1117006669. Note that the first 3 decimals coincide. The cubic root of 354799104 is about 707.9362833272.

It can be divided in two parts, 354799 and 104, that added together give a triangular number (354903 = T₈₄₂).

The spelling of 354799104 in words is "three hundred fifty-four million, seven hundred ninety-nine thousand, one hundred four".