354700944 has 200 divisors, whose sum is σ = 1137453240. Its totient is φ = 106002432.

The previous prime is 354700921. The next prime is 354701003. The reversal of 354700944 is 449007453.

It can be written as a sum of positive squares in 4 ways, for example, as 20250000 + 334450944 = 4500^2 + 18288^2 .

It is a super-2 number, since 2×354700944² = 251625519348982272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 354700899 and 354700908.

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 39 ways as a sum of consecutive naturals, for example, 623092 + ... + 623660.

Almost surely, 2^354700944 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 354700944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568726620).

354700944 is an abundant number, since it is smaller than the sum of its proper divisors (782752296).

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

354700944 is a wasteful number, since it uses less digits than its factorization.

354700944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 354700944 is about 18833.5058871151. The cubic root of 354700944 is about 707.8709905702.

The spelling of 354700944 in words is "three hundred fifty-four million, seven hundred thousand, nine hundred forty-four".